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Finding the Fourth Proportional to 31,898.80, 47,855.40 and 18,744.40

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Solution

The fourth proportional to 31,898.80, 47,855.40 and 18,744.40 is: 28,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.80 : 47,855.40 = 18,744.40 : x
  2. Step 2: Convert to fraction form
    31,898.80/47,855.40 = 18,744.40/x
  3. Step 3: Cross multiply
    31,898.80x = 47,855.40 × 18,744.40
  4. Step 4: Simplify right side
    31,898.80x = 897,020,759.76
  5. Step 5: Solve for x
    x = 897,020,759.76/31,898.80
  6. Step 6: Final answer
    x = 28,120.83

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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.