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Finding the Fourth Proportional to 31,717.52, 47,585.88 and 12,002.12

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Solution

The fourth proportional to 31,717.52, 47,585.88 and 12,002.12 is: 18,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,717.52 : 47,585.88 = 12,002.12 : x
  2. Step 2: Convert to fraction form
    31,717.52/47,585.88 = 12,002.12/x
  3. Step 3: Cross multiply
    31,717.52x = 47,585.88 × 12,002.12
  4. Step 4: Simplify right side
    31,717.52x = 571,131,442.07
  5. Step 5: Solve for x
    x = 571,131,442.07/31,717.52
  6. Step 6: Final answer
    x = 18,006.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.