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Finding the Fourth Proportional to 5,415.78, 7,474 and 3,057.91

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Solution

The fourth proportional to 5,415.78, 7,474 and 3,057.91 is: 4,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.78 : 7,474 = 3,057.91 : x
  2. Step 2: Convert to fraction form
    5,415.78/7,474 = 3,057.91/x
  3. Step 3: Cross multiply
    5,415.78x = 7,474 × 3,057.91
  4. Step 4: Simplify right side
    5,415.78x = 22,854,819.34
  5. Step 5: Solve for x
    x = 22,854,819.34/5,415.78
  6. Step 6: Final answer
    x = 4,220.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.