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Finding the Fourth Proportional to 31,706.39, 47,572.86 and 13,927.88

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Solution

The fourth proportional to 31,706.39, 47,572.86 and 13,927.88 is: 20,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.39 : 47,572.86 = 13,927.88 : x
  2. Step 2: Convert to fraction form
    31,706.39/47,572.86 = 13,927.88/x
  3. Step 3: Cross multiply
    31,706.39x = 47,572.86 × 13,927.88
  4. Step 4: Simplify right side
    31,706.39x = 662,589,085.34
  5. Step 5: Solve for x
    x = 662,589,085.34/31,706.39
  6. Step 6: Final answer
    x = 20,897.65

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1.5x scale

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.