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Finding the Fourth Proportional to 5,589.50, 7,715.13 and 3,726.50

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Solution

The fourth proportional to 5,589.50, 7,715.13 and 3,726.50 is: 5,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.50 : 7,715.13 = 3,726.50 : x
  2. Step 2: Convert to fraction form
    5,589.50/7,715.13 = 3,726.50/x
  3. Step 3: Cross multiply
    5,589.50x = 7,715.13 × 3,726.50
  4. Step 4: Simplify right side
    5,589.50x = 28,750,431.95
  5. Step 5: Solve for x
    x = 28,750,431.95/5,589.50
  6. Step 6: Final answer
    x = 5,143.65

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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.