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Finding the Fourth Proportional to 16,281.78, 22,468.92 and 8,829.78

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Solution

The fourth proportional to 16,281.78, 22,468.92 and 8,829.78 is: 12,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.78 : 22,468.92 = 8,829.78 : x
  2. Step 2: Convert to fraction form
    16,281.78/22,468.92 = 8,829.78/x
  3. Step 3: Cross multiply
    16,281.78x = 22,468.92 × 8,829.78
  4. Step 4: Simplify right side
    16,281.78x = 198,395,620.44
  5. Step 5: Solve for x
    x = 198,395,620.44/16,281.78
  6. Step 6: Final answer
    x = 12,185.13

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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.