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Finding the Fourth Proportional to 12,137.61, 18,177.68 and 7,741.74

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Solution

The fourth proportional to 12,137.61, 18,177.68 and 7,741.74 is: 11,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.61 : 18,177.68 = 7,741.74 : x
  2. Step 2: Convert to fraction form
    12,137.61/18,177.68 = 7,741.74/x
  3. Step 3: Cross multiply
    12,137.61x = 18,177.68 × 7,741.74
  4. Step 4: Simplify right side
    12,137.61x = 140,726,833.65
  5. Step 5: Solve for x
    x = 140,726,833.65/12,137.61
  6. Step 6: Final answer
    x = 11,594.28

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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.