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Finding the Fourth Proportional to 10,420.72, 15,620.10 and 6,472

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Solution

The fourth proportional to 10,420.72, 15,620.10 and 6,472 is: 9,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.72 : 15,620.10 = 6,472 : x
  2. Step 2: Convert to fraction form
    10,420.72/15,620.10 = 6,472/x
  3. Step 3: Cross multiply
    10,420.72x = 15,620.10 × 6,472
  4. Step 4: Simplify right side
    10,420.72x = 101,093,287.20
  5. Step 5: Solve for x
    x = 101,093,287.20/10,420.72
  6. Step 6: Final answer
    x = 9,701.18

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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.