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Finding the Fourth Proportional to 2,505.54, 3,757.20 and 862.23

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Solution

The fourth proportional to 2,505.54, 3,757.20 and 862.23 is: 1,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.54 : 3,757.20 = 862.23 : x
  2. Step 2: Convert to fraction form
    2,505.54/3,757.20 = 862.23/x
  3. Step 3: Cross multiply
    2,505.54x = 3,757.20 × 862.23
  4. Step 4: Simplify right side
    2,505.54x = 3,239,570.56
  5. Step 5: Solve for x
    x = 3,239,570.56/2,505.54
  6. Step 6: Final answer
    x = 1,292.96

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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.