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Finding the Fourth Proportional to 38,452.96, 57,679.92 and 12,160

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Solution

The fourth proportional to 38,452.96, 57,679.92 and 12,160 is: 18,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452.96 : 57,679.92 = 12,160 : x
  2. Step 2: Convert to fraction form
    38,452.96/57,679.92 = 12,160/x
  3. Step 3: Cross multiply
    38,452.96x = 57,679.92 × 12,160
  4. Step 4: Simplify right side
    38,452.96x = 701,387,827.20
  5. Step 5: Solve for x
    x = 701,387,827.20/38,452.96
  6. Step 6: Final answer
    x = 18,240.15

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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.