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Finding the Fourth Proportional to 20,101.78, 27,658.92 and 16,503.49

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Solution

The fourth proportional to 20,101.78, 27,658.92 and 16,503.49 is: 22,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.78 : 27,658.92 = 16,503.49 : x
  2. Step 2: Convert to fraction form
    20,101.78/27,658.92 = 16,503.49/x
  3. Step 3: Cross multiply
    20,101.78x = 27,658.92 × 16,503.49
  4. Step 4: Simplify right side
    20,101.78x = 456,468,709.63
  5. Step 5: Solve for x
    x = 456,468,709.63/20,101.78
  6. Step 6: Final answer
    x = 22,707.88

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1.5x scale

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.