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Finding the Fourth Proportional to 12,394.50, 18,591.75 and 7,780.74

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Solution

The fourth proportional to 12,394.50, 18,591.75 and 7,780.74 is: 11,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.50 : 18,591.75 = 7,780.74 : x
  2. Step 2: Convert to fraction form
    12,394.50/18,591.75 = 7,780.74/x
  3. Step 3: Cross multiply
    12,394.50x = 18,591.75 × 7,780.74
  4. Step 4: Simplify right side
    12,394.50x = 144,657,572.90
  5. Step 5: Solve for x
    x = 144,657,572.90/12,394.50
  6. Step 6: Final answer
    x = 11,671.11

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.