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Finding the Fourth Proportional to 2,149.57, 3,224.35 and 610.57

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Solution

The fourth proportional to 2,149.57, 3,224.35 and 610.57 is: 915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.57 : 3,224.35 = 610.57 : x
  2. Step 2: Convert to fraction form
    2,149.57/3,224.35 = 610.57/x
  3. Step 3: Cross multiply
    2,149.57x = 3,224.35 × 610.57
  4. Step 4: Simplify right side
    2,149.57x = 1,968,672.20
  5. Step 5: Solve for x
    x = 1,968,672.20/2,149.57
  6. Step 6: Final answer
    x = 915.85

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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.