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Finding the Fourth Proportional to 5,082.72, 7,615.44 and 4,302

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Solution

The fourth proportional to 5,082.72, 7,615.44 and 4,302 is: 6,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.72 : 7,615.44 = 4,302 : x
  2. Step 2: Convert to fraction form
    5,082.72/7,615.44 = 4,302/x
  3. Step 3: Cross multiply
    5,082.72x = 7,615.44 × 4,302
  4. Step 4: Simplify right side
    5,082.72x = 32,761,622.88
  5. Step 5: Solve for x
    x = 32,761,622.88/5,082.72
  6. Step 6: Final answer
    x = 6,445.69

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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.