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Finding the Fourth Proportional to 5,318.67, 7,978.11 and 2,545.65

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Solution

The fourth proportional to 5,318.67, 7,978.11 and 2,545.65 is: 3,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.67 : 7,978.11 = 2,545.65 : x
  2. Step 2: Convert to fraction form
    5,318.67/7,978.11 = 2,545.65/x
  3. Step 3: Cross multiply
    5,318.67x = 7,978.11 × 2,545.65
  4. Step 4: Simplify right side
    5,318.67x = 20,309,475.72
  5. Step 5: Solve for x
    x = 20,309,475.72/5,318.67
  6. Step 6: Final answer
    x = 3,818.53

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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.