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Finding the Fourth Proportional to 31,531.32, 47,275.11 and 14,877.32

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Solution

The fourth proportional to 31,531.32, 47,275.11 and 14,877.32 is: 22,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.32 : 47,275.11 = 14,877.32 : x
  2. Step 2: Convert to fraction form
    31,531.32/47,275.11 = 14,877.32/x
  3. Step 3: Cross multiply
    31,531.32x = 47,275.11 × 14,877.32
  4. Step 4: Simplify right side
    31,531.32x = 703,326,703.13
  5. Step 5: Solve for x
    x = 703,326,703.13/31,531.32
  6. Step 6: Final answer
    x = 22,305.65

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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.