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Finding the Fourth Proportional to 31,986.71, 47,978.98 and 8,612.27

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Solution

The fourth proportional to 31,986.71, 47,978.98 and 8,612.27 is: 12,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986.71 : 47,978.98 = 8,612.27 : x
  2. Step 2: Convert to fraction form
    31,986.71/47,978.98 = 8,612.27/x
  3. Step 3: Cross multiply
    31,986.71x = 47,978.98 × 8,612.27
  4. Step 4: Simplify right side
    31,986.71x = 413,207,930.08
  5. Step 5: Solve for x
    x = 413,207,930.08/31,986.71
  6. Step 6: Final answer
    x = 12,918.11

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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.