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Finding the Fourth Proportional to 38,409.72, 57,640.50 and 13,449.93

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Solution

The fourth proportional to 38,409.72, 57,640.50 and 13,449.93 is: 20,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.72 : 57,640.50 = 13,449.93 : x
  2. Step 2: Convert to fraction form
    38,409.72/57,640.50 = 13,449.93/x
  3. Step 3: Cross multiply
    38,409.72x = 57,640.50 × 13,449.93
  4. Step 4: Simplify right side
    38,409.72x = 775,260,690.17
  5. Step 5: Solve for x
    x = 775,260,690.17/38,409.72
  6. Step 6: Final answer
    x = 20,183.97

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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.