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Finding the Fourth Proportional to 3,490.62, 5,236.23 and 991.82

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Solution

The fourth proportional to 3,490.62, 5,236.23 and 991.82 is: 1,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.62 : 5,236.23 = 991.82 : x
  2. Step 2: Convert to fraction form
    3,490.62/5,236.23 = 991.82/x
  3. Step 3: Cross multiply
    3,490.62x = 5,236.23 × 991.82
  4. Step 4: Simplify right side
    3,490.62x = 5,193,371.46
  5. Step 5: Solve for x
    x = 5,193,371.46/3,490.62
  6. Step 6: Final answer
    x = 1,487.81

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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.