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Finding the Fourth Proportional to 10,472.78, 15,713.53 and 4,237.20

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Solution

The fourth proportional to 10,472.78, 15,713.53 and 4,237.20 is: 6,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.78 : 15,713.53 = 4,237.20 : x
  2. Step 2: Convert to fraction form
    10,472.78/15,713.53 = 4,237.20/x
  3. Step 3: Cross multiply
    10,472.78x = 15,713.53 × 4,237.20
  4. Step 4: Simplify right side
    10,472.78x = 66,581,369.32
  5. Step 5: Solve for x
    x = 66,581,369.32/10,472.78
  6. Step 6: Final answer
    x = 6,357.56

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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.