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Finding the Fourth Proportional to 20,488.75, 30,704.55 and 15,487

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Solution

The fourth proportional to 20,488.75, 30,704.55 and 15,487 is: 23,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.75 : 30,704.55 = 15,487 : x
  2. Step 2: Convert to fraction form
    20,488.75/30,704.55 = 15,487/x
  3. Step 3: Cross multiply
    20,488.75x = 30,704.55 × 15,487
  4. Step 4: Simplify right side
    20,488.75x = 475,521,365.85
  5. Step 5: Solve for x
    x = 475,521,365.85/20,488.75
  6. Step 6: Final answer
    x = 23,208.90

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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.