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Finding the Fourth Proportional to 31,668.62, 47,486.52 and 13,891.95

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Solution

The fourth proportional to 31,668.62, 47,486.52 and 13,891.95 is: 20,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,668.62 : 47,486.52 = 13,891.95 : x
  2. Step 2: Convert to fraction form
    31,668.62/47,486.52 = 13,891.95/x
  3. Step 3: Cross multiply
    31,668.62x = 47,486.52 × 13,891.95
  4. Step 4: Simplify right side
    31,668.62x = 659,680,361.51
  5. Step 5: Solve for x
    x = 659,680,361.51/31,668.62
  6. Step 6: Final answer
    x = 20,830.73

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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.