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Finding the Fourth Proportional to 10,572, 15,850.16 and 6,412.96

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Solution

The fourth proportional to 10,572, 15,850.16 and 6,412.96 is: 9,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572 : 15,850.16 = 6,412.96 : x
  2. Step 2: Convert to fraction form
    10,572/15,850.16 = 6,412.96/x
  3. Step 3: Cross multiply
    10,572x = 15,850.16 × 6,412.96
  4. Step 4: Simplify right side
    10,572x = 101,646,442.07
  5. Step 5: Solve for x
    x = 101,646,442.07/10,572
  6. Step 6: Final answer
    x = 9,614.68

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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.