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Finding the Fourth Proportional to 10,493.80, 15,729.60 and 3,472

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Solution

The fourth proportional to 10,493.80, 15,729.60 and 3,472 is: 5,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.80 : 15,729.60 = 3,472 : x
  2. Step 2: Convert to fraction form
    10,493.80/15,729.60 = 3,472/x
  3. Step 3: Cross multiply
    10,493.80x = 15,729.60 × 3,472
  4. Step 4: Simplify right side
    10,493.80x = 54,613,171.20
  5. Step 5: Solve for x
    x = 54,613,171.20/10,493.80
  6. Step 6: Final answer
    x = 5,204.33

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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.