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Finding the Fourth Proportional to 5,200.70, 7,801.05 and 3,127.10

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Solution

The fourth proportional to 5,200.70, 7,801.05 and 3,127.10 is: 4,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.70 : 7,801.05 = 3,127.10 : x
  2. Step 2: Convert to fraction form
    5,200.70/7,801.05 = 3,127.10/x
  3. Step 3: Cross multiply
    5,200.70x = 7,801.05 × 3,127.10
  4. Step 4: Simplify right side
    5,200.70x = 24,394,663.46
  5. Step 5: Solve for x
    x = 24,394,663.46/5,200.70
  6. Step 6: Final answer
    x = 4,690.65

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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.