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Finding the Fourth Proportional to 12,382, 18,577.84 and 5,451.64

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Solution

The fourth proportional to 12,382, 18,577.84 and 5,451.64 is: 8,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382 : 18,577.84 = 5,451.64 : x
  2. Step 2: Convert to fraction form
    12,382/18,577.84 = 5,451.64/x
  3. Step 3: Cross multiply
    12,382x = 18,577.84 × 5,451.64
  4. Step 4: Simplify right side
    12,382x = 101,279,695.66
  5. Step 5: Solve for x
    x = 101,279,695.66/12,382
  6. Step 6: Final answer
    x = 8,179.59

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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.