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Finding the Fourth Proportional to 5,815.53, 8,022.02 and 3,658.65

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Solution

The fourth proportional to 5,815.53, 8,022.02 and 3,658.65 is: 5,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.53 : 8,022.02 = 3,658.65 : x
  2. Step 2: Convert to fraction form
    5,815.53/8,022.02 = 3,658.65/x
  3. Step 3: Cross multiply
    5,815.53x = 8,022.02 × 3,658.65
  4. Step 4: Simplify right side
    5,815.53x = 29,349,734.27
  5. Step 5: Solve for x
    x = 29,349,734.27/5,815.53
  6. Step 6: Final answer
    x = 5,046.78

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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.