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Finding the Fourth Proportional to 5,058.70, 6,978.35 and 4,115.53

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Solution

The fourth proportional to 5,058.70, 6,978.35 and 4,115.53 is: 5,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.70 : 6,978.35 = 4,115.53 : x
  2. Step 2: Convert to fraction form
    5,058.70/6,978.35 = 4,115.53/x
  3. Step 3: Cross multiply
    5,058.70x = 6,978.35 × 4,115.53
  4. Step 4: Simplify right side
    5,058.70x = 28,719,553.31
  5. Step 5: Solve for x
    x = 28,719,553.31/5,058.70
  6. Step 6: Final answer
    x = 5,677.27

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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.