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Finding the Fourth Proportional to 3,942.76, 5,915.36 and 1,751.30

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Solution

The fourth proportional to 3,942.76, 5,915.36 and 1,751.30 is: 2,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.76 : 5,915.36 = 1,751.30 : x
  2. Step 2: Convert to fraction form
    3,942.76/5,915.36 = 1,751.30/x
  3. Step 3: Cross multiply
    3,942.76x = 5,915.36 × 1,751.30
  4. Step 4: Simplify right side
    3,942.76x = 10,359,569.97
  5. Step 5: Solve for x
    x = 10,359,569.97/3,942.76
  6. Step 6: Final answer
    x = 2,627.49

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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.