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Finding the Fourth Proportional to 31,372, 47,061.92 and 9,484

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Solution

The fourth proportional to 31,372, 47,061.92 and 9,484 is: 14,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372 : 47,061.92 = 9,484 : x
  2. Step 2: Convert to fraction form
    31,372/47,061.92 = 9,484/x
  3. Step 3: Cross multiply
    31,372x = 47,061.92 × 9,484
  4. Step 4: Simplify right side
    31,372x = 446,335,249.28
  5. Step 5: Solve for x
    x = 446,335,249.28/31,372
  6. Step 6: Final answer
    x = 14,227.19

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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.