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Finding the Fourth Proportional to 16,458.78, 22,713.12 and 9,006.78

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Solution

The fourth proportional to 16,458.78, 22,713.12 and 9,006.78 is: 12,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.78 : 22,713.12 = 9,006.78 : x
  2. Step 2: Convert to fraction form
    16,458.78/22,713.12 = 9,006.78/x
  3. Step 3: Cross multiply
    16,458.78x = 22,713.12 × 9,006.78
  4. Step 4: Simplify right side
    16,458.78x = 204,572,074.95
  5. Step 5: Solve for x
    x = 204,572,074.95/16,458.78
  6. Step 6: Final answer
    x = 12,429.36

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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.