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Finding the Fourth Proportional to 2,170.62, 3,256.05 and 610.75

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Solution

The fourth proportional to 2,170.62, 3,256.05 and 610.75 is: 916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.62 : 3,256.05 = 610.75 : x
  2. Step 2: Convert to fraction form
    2,170.62/3,256.05 = 610.75/x
  3. Step 3: Cross multiply
    2,170.62x = 3,256.05 × 610.75
  4. Step 4: Simplify right side
    2,170.62x = 1,988,616.26
  5. Step 5: Solve for x
    x = 1,988,616.26/2,170.62
  6. Step 6: Final answer
    x = 916.15

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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.