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Finding the Fourth Proportional to 2,565.23, 3,847.84 and 617.43

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Solution

The fourth proportional to 2,565.23, 3,847.84 and 617.43 is: 926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.23 : 3,847.84 = 617.43 : x
  2. Step 2: Convert to fraction form
    2,565.23/3,847.84 = 617.43/x
  3. Step 3: Cross multiply
    2,565.23x = 3,847.84 × 617.43
  4. Step 4: Simplify right side
    2,565.23x = 2,375,767.10
  5. Step 5: Solve for x
    x = 2,375,767.10/2,565.23
  6. Step 6: Final answer
    x = 926.14

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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.