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Finding the Fourth Proportional to 16,542.78, 22,829.48 and 8,989.59

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Solution

The fourth proportional to 16,542.78, 22,829.48 and 8,989.59 is: 12,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.78 : 22,829.48 = 8,989.59 : x
  2. Step 2: Convert to fraction form
    16,542.78/22,829.48 = 8,989.59/x
  3. Step 3: Cross multiply
    16,542.78x = 22,829.48 × 8,989.59
  4. Step 4: Simplify right side
    16,542.78x = 205,227,665.11
  5. Step 5: Solve for x
    x = 205,227,665.11/16,542.78
  6. Step 6: Final answer
    x = 12,405.88

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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.