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Finding the Fourth Proportional to 5,145.89, 7,718.53 and 3,171.90

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Solution

The fourth proportional to 5,145.89, 7,718.53 and 3,171.90 is: 4,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.89 : 7,718.53 = 3,171.90 : x
  2. Step 2: Convert to fraction form
    5,145.89/7,718.53 = 3,171.90/x
  3. Step 3: Cross multiply
    5,145.89x = 7,718.53 × 3,171.90
  4. Step 4: Simplify right side
    5,145.89x = 24,482,358.78
  5. Step 5: Solve for x
    x = 24,482,358.78/5,145.89
  6. Step 6: Final answer
    x = 4,757.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.