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Finding the Fourth Proportional to 2,102.92, 3,153.38 and 641.68

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Solution

The fourth proportional to 2,102.92, 3,153.38 and 641.68 is: 962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.92 : 3,153.38 = 641.68 : x
  2. Step 2: Convert to fraction form
    2,102.92/3,153.38 = 641.68/x
  3. Step 3: Cross multiply
    2,102.92x = 3,153.38 × 641.68
  4. Step 4: Simplify right side
    2,102.92x = 2,023,460.88
  5. Step 5: Solve for x
    x = 2,023,460.88/2,102.92
  6. Step 6: Final answer
    x = 962.21

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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.