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Finding the Fourth Proportional to 20,488.78, 30,747.76 and 15,813.46

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Solution

The fourth proportional to 20,488.78, 30,747.76 and 15,813.46 is: 23,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.78 : 30,747.76 = 15,813.46 : x
  2. Step 2: Convert to fraction form
    20,488.78/30,747.76 = 15,813.46/x
  3. Step 3: Cross multiply
    20,488.78x = 30,747.76 × 15,813.46
  4. Step 4: Simplify right side
    20,488.78x = 486,228,472.85
  5. Step 5: Solve for x
    x = 486,228,472.85/20,488.78
  6. Step 6: Final answer
    x = 23,731.45

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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.