Home / 38,494-57,742.68-12,200.68

Finding the Fourth Proportional to 38,494, 57,742.68 and 12,200.68

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Solution

The fourth proportional to 38,494, 57,742.68 and 12,200.68 is: 18,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494 : 57,742.68 = 12,200.68 : x
  2. Step 2: Convert to fraction form
    38,494/57,742.68 = 12,200.68/x
  3. Step 3: Cross multiply
    38,494x = 57,742.68 × 12,200.68
  4. Step 4: Simplify right side
    38,494x = 704,499,961.02
  5. Step 5: Solve for x
    x = 704,499,961.02/38,494
  6. Step 6: Final answer
    x = 18,301.55

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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.