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Finding the Fourth Proportional to 12,178.12, 18,256 and 4,385.04

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Solution

The fourth proportional to 12,178.12, 18,256 and 4,385.04 is: 6,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.12 : 18,256 = 4,385.04 : x
  2. Step 2: Convert to fraction form
    12,178.12/18,256 = 4,385.04/x
  3. Step 3: Cross multiply
    12,178.12x = 18,256 × 4,385.04
  4. Step 4: Simplify right side
    12,178.12x = 80,053,290.24
  5. Step 5: Solve for x
    x = 80,053,290.24/12,178.12
  6. Step 6: Final answer
    x = 6,573.53

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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.