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Finding the Fourth Proportional to 16,965.78, 25,414.64 and 8,645.46

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Solution

The fourth proportional to 16,965.78, 25,414.64 and 8,645.46 is: 12,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.78 : 25,414.64 = 8,645.46 : x
  2. Step 2: Convert to fraction form
    16,965.78/25,414.64 = 8,645.46/x
  3. Step 3: Cross multiply
    16,965.78x = 25,414.64 × 8,645.46
  4. Step 4: Simplify right side
    16,965.78x = 219,721,210.31
  5. Step 5: Solve for x
    x = 219,721,210.31/16,965.78
  6. Step 6: Final answer
    x = 12,950.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.