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Finding the Fourth Proportional to 12,340.92, 18,507.54 and 4,131

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Solution

The fourth proportional to 12,340.92, 18,507.54 and 4,131 is: 6,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.92 : 18,507.54 = 4,131 : x
  2. Step 2: Convert to fraction form
    12,340.92/18,507.54 = 4,131/x
  3. Step 3: Cross multiply
    12,340.92x = 18,507.54 × 4,131
  4. Step 4: Simplify right side
    12,340.92x = 76,454,647.74
  5. Step 5: Solve for x
    x = 76,454,647.74/12,340.92
  6. Step 6: Final answer
    x = 6,195.21

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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.