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Finding the Fourth Proportional to 2,170.76, 3,256.14 and 610.94

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Solution

The fourth proportional to 2,170.76, 3,256.14 and 610.94 is: 916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.76 : 3,256.14 = 610.94 : x
  2. Step 2: Convert to fraction form
    2,170.76/3,256.14 = 610.94/x
  3. Step 3: Cross multiply
    2,170.76x = 3,256.14 × 610.94
  4. Step 4: Simplify right side
    2,170.76x = 1,989,292.18
  5. Step 5: Solve for x
    x = 1,989,292.18/2,170.76
  6. Step 6: Final answer
    x = 916.40

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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.