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Finding the Fourth Proportional to 5,058.95, 6,978.69 and 4,115.79

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Solution

The fourth proportional to 5,058.95, 6,978.69 and 4,115.79 is: 5,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.95 : 6,978.69 = 4,115.79 : x
  2. Step 2: Convert to fraction form
    5,058.95/6,978.69 = 4,115.79/x
  3. Step 3: Cross multiply
    5,058.95x = 6,978.69 × 4,115.79
  4. Step 4: Simplify right side
    5,058.95x = 28,722,822.52
  5. Step 5: Solve for x
    x = 28,722,822.52/5,058.95
  6. Step 6: Final answer
    x = 5,677.63

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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.