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Finding the Fourth Proportional to 3,884.65, 5,815.55 and 2,565.97

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Solution

The fourth proportional to 3,884.65, 5,815.55 and 2,565.97 is: 3,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.65 : 5,815.55 = 2,565.97 : x
  2. Step 2: Convert to fraction form
    3,884.65/5,815.55 = 2,565.97/x
  3. Step 3: Cross multiply
    3,884.65x = 5,815.55 × 2,565.97
  4. Step 4: Simplify right side
    3,884.65x = 14,922,514.00
  5. Step 5: Solve for x
    x = 14,922,514.00/3,884.65
  6. Step 6: Final answer
    x = 3,841.41

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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.