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Finding the Fourth Proportional to 20,780.72, 28,658.40 and 16,244

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Solution

The fourth proportional to 20,780.72, 28,658.40 and 16,244 is: 22,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.72 : 28,658.40 = 16,244 : x
  2. Step 2: Convert to fraction form
    20,780.72/28,658.40 = 16,244/x
  3. Step 3: Cross multiply
    20,780.72x = 28,658.40 × 16,244
  4. Step 4: Simplify right side
    20,780.72x = 465,527,049.60
  5. Step 5: Solve for x
    x = 465,527,049.60/20,780.72
  6. Step 6: Final answer
    x = 22,401.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.