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Finding the Fourth Proportional to 31,474, 47,219.10 and 11,752.69

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Solution

The fourth proportional to 31,474, 47,219.10 and 11,752.69 is: 17,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474 : 47,219.10 = 11,752.69 : x
  2. Step 2: Convert to fraction form
    31,474/47,219.10 = 11,752.69/x
  3. Step 3: Cross multiply
    31,474x = 47,219.10 × 11,752.69
  4. Step 4: Simplify right side
    31,474x = 554,951,444.38
  5. Step 5: Solve for x
    x = 554,951,444.38/31,474
  6. Step 6: Final answer
    x = 17,632.06

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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.