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Finding the Fourth Proportional to 38,217.60, 57,322.08 and 10,512

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Solution

The fourth proportional to 38,217.60, 57,322.08 and 10,512 is: 15,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217.60 : 57,322.08 = 10,512 : x
  2. Step 2: Convert to fraction form
    38,217.60/57,322.08 = 10,512/x
  3. Step 3: Cross multiply
    38,217.60x = 57,322.08 × 10,512
  4. Step 4: Simplify right side
    38,217.60x = 602,569,704.96
  5. Step 5: Solve for x
    x = 602,569,704.96/38,217.60
  6. Step 6: Final answer
    x = 15,766.81

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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.