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Finding the Fourth Proportional to 2,102.49, 3,153.62 and 641.53

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Solution

The fourth proportional to 2,102.49, 3,153.62 and 641.53 is: 962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.49 : 3,153.62 = 641.53 : x
  2. Step 2: Convert to fraction form
    2,102.49/3,153.62 = 641.53/x
  3. Step 3: Cross multiply
    2,102.49x = 3,153.62 × 641.53
  4. Step 4: Simplify right side
    2,102.49x = 2,023,141.84
  5. Step 5: Solve for x
    x = 2,023,141.84/2,102.49
  6. Step 6: Final answer
    x = 962.26

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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.