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Finding the Fourth Proportional to 31,512.52, 47,271.42 and 8,139.40

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Solution

The fourth proportional to 31,512.52, 47,271.42 and 8,139.40 is: 12,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512.52 : 47,271.42 = 8,139.40 : x
  2. Step 2: Convert to fraction form
    31,512.52/47,271.42 = 8,139.40/x
  3. Step 3: Cross multiply
    31,512.52x = 47,271.42 × 8,139.40
  4. Step 4: Simplify right side
    31,512.52x = 384,760,995.95
  5. Step 5: Solve for x
    x = 384,760,995.95/31,512.52
  6. Step 6: Final answer
    x = 12,209.78

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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.