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Finding the Fourth Proportional to 31,498.80, 47,269.80 and 13,981.20

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Solution

The fourth proportional to 31,498.80, 47,269.80 and 13,981.20 is: 20,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.80 : 47,269.80 = 13,981.20 : x
  2. Step 2: Convert to fraction form
    31,498.80/47,269.80 = 13,981.20/x
  3. Step 3: Cross multiply
    31,498.80x = 47,269.80 × 13,981.20
  4. Step 4: Simplify right side
    31,498.80x = 660,888,527.76
  5. Step 5: Solve for x
    x = 660,888,527.76/31,498.80
  6. Step 6: Final answer
    x = 20,981.39

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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.