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Finding the Fourth Proportional to 5,148.72, 7,718 and 3,294.56

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Solution

The fourth proportional to 5,148.72, 7,718 and 3,294.56 is: 4,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.72 : 7,718 = 3,294.56 : x
  2. Step 2: Convert to fraction form
    5,148.72/7,718 = 3,294.56/x
  3. Step 3: Cross multiply
    5,148.72x = 7,718 × 3,294.56
  4. Step 4: Simplify right side
    5,148.72x = 25,427,414.08
  5. Step 5: Solve for x
    x = 25,427,414.08/5,148.72
  6. Step 6: Final answer
    x = 4,938.59

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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.