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Finding the Fourth Proportional to 38,149.53, 57,205.83 and 13,180.83

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Solution

The fourth proportional to 38,149.53, 57,205.83 and 13,180.83 is: 19,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.53 : 57,205.83 = 13,180.83 : x
  2. Step 2: Convert to fraction form
    38,149.53/57,205.83 = 13,180.83/x
  3. Step 3: Cross multiply
    38,149.53x = 57,205.83 × 13,180.83
  4. Step 4: Simplify right side
    38,149.53x = 754,020,320.24
  5. Step 5: Solve for x
    x = 754,020,320.24/38,149.53
  6. Step 6: Final answer
    x = 19,764.87

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1.5x scale

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.