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Finding the Fourth Proportional to 2,505.78, 3,759.27 and 862.29

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Solution

The fourth proportional to 2,505.78, 3,759.27 and 862.29 is: 1,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.78 : 3,759.27 = 862.29 : x
  2. Step 2: Convert to fraction form
    2,505.78/3,759.27 = 862.29/x
  3. Step 3: Cross multiply
    2,505.78x = 3,759.27 × 862.29
  4. Step 4: Simplify right side
    2,505.78x = 3,241,580.93
  5. Step 5: Solve for x
    x = 3,241,580.93/2,505.78
  6. Step 6: Final answer
    x = 1,293.64

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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.