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Finding the Fourth Proportional to 12,280.76, 16,947 and 7,245.20

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Solution

The fourth proportional to 12,280.76, 16,947 and 7,245.20 is: 9,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.76 : 16,947 = 7,245.20 : x
  2. Step 2: Convert to fraction form
    12,280.76/16,947 = 7,245.20/x
  3. Step 3: Cross multiply
    12,280.76x = 16,947 × 7,245.20
  4. Step 4: Simplify right side
    12,280.76x = 122,784,404.40
  5. Step 5: Solve for x
    x = 122,784,404.40/12,280.76
  6. Step 6: Final answer
    x = 9,998.11

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.