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Finding the Fourth Proportional to 2,102.26, 3,153.86 and 641.52

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Solution

The fourth proportional to 2,102.26, 3,153.86 and 641.52 is: 962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.26 : 3,153.86 = 641.52 : x
  2. Step 2: Convert to fraction form
    2,102.26/3,153.86 = 641.52/x
  3. Step 3: Cross multiply
    2,102.26x = 3,153.86 × 641.52
  4. Step 4: Simplify right side
    2,102.26x = 2,023,264.27
  5. Step 5: Solve for x
    x = 2,023,264.27/2,102.26
  6. Step 6: Final answer
    x = 962.42

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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.