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Finding the Fourth Proportional to 5,145.64, 7,718.15 and 3,171.65

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Solution

The fourth proportional to 5,145.64, 7,718.15 and 3,171.65 is: 4,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.64 : 7,718.15 = 3,171.65 : x
  2. Step 2: Convert to fraction form
    5,145.64/7,718.15 = 3,171.65/x
  3. Step 3: Cross multiply
    5,145.64x = 7,718.15 × 3,171.65
  4. Step 4: Simplify right side
    5,145.64x = 24,479,239.79
  5. Step 5: Solve for x
    x = 24,479,239.79/5,145.64
  6. Step 6: Final answer
    x = 4,757.28

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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.