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Finding the Fourth Proportional to 31,561.76, 47,361 and 12,838.88

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Solution

The fourth proportional to 31,561.76, 47,361 and 12,838.88 is: 19,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,561.76 : 47,361 = 12,838.88 : x
  2. Step 2: Convert to fraction form
    31,561.76/47,361 = 12,838.88/x
  3. Step 3: Cross multiply
    31,561.76x = 47,361 × 12,838.88
  4. Step 4: Simplify right side
    31,561.76x = 608,062,195.68
  5. Step 5: Solve for x
    x = 608,062,195.68/31,561.76
  6. Step 6: Final answer
    x = 19,265.79

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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.