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Finding the Fourth Proportional to 2,170.97, 3,256.99 and 610.97

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Solution

The fourth proportional to 2,170.97, 3,256.99 and 610.97 is: 916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.97 : 3,256.99 = 610.97 : x
  2. Step 2: Convert to fraction form
    2,170.97/3,256.99 = 610.97/x
  3. Step 3: Cross multiply
    2,170.97x = 3,256.99 × 610.97
  4. Step 4: Simplify right side
    2,170.97x = 1,989,923.18
  5. Step 5: Solve for x
    x = 1,989,923.18/2,170.97
  6. Step 6: Final answer
    x = 916.61

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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.