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Finding the Fourth Proportional to 2,102.52, 3,153.78 and 641.70

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Solution

The fourth proportional to 2,102.52, 3,153.78 and 641.70 is: 962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.52 : 3,153.78 = 641.70 : x
  2. Step 2: Convert to fraction form
    2,102.52/3,153.78 = 641.70/x
  3. Step 3: Cross multiply
    2,102.52x = 3,153.78 × 641.70
  4. Step 4: Simplify right side
    2,102.52x = 2,023,780.63
  5. Step 5: Solve for x
    x = 2,023,780.63/2,102.52
  6. Step 6: Final answer
    x = 962.55

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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.