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Finding the Fourth Proportional to 7,679.38, 10,593.67 and 4,490.58

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Solution

The fourth proportional to 7,679.38, 10,593.67 and 4,490.58 is: 6,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.38 : 10,593.67 = 4,490.58 : x
  2. Step 2: Convert to fraction form
    7,679.38/10,593.67 = 4,490.58/x
  3. Step 3: Cross multiply
    7,679.38x = 10,593.67 × 4,490.58
  4. Step 4: Simplify right side
    7,679.38x = 47,571,759.55
  5. Step 5: Solve for x
    x = 47,571,759.55/7,679.38
  6. Step 6: Final answer
    x = 6,194.74

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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.