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Finding the Fourth Proportional to 2,135.88, 3,202.98 and 748.92

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Solution

The fourth proportional to 2,135.88, 3,202.98 and 748.92 is: 1,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.88 : 3,202.98 = 748.92 : x
  2. Step 2: Convert to fraction form
    2,135.88/3,202.98 = 748.92/x
  3. Step 3: Cross multiply
    2,135.88x = 3,202.98 × 748.92
  4. Step 4: Simplify right side
    2,135.88x = 2,398,775.78
  5. Step 5: Solve for x
    x = 2,398,775.78/2,135.88
  6. Step 6: Final answer
    x = 1,123.09

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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.