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Finding the Fourth Proportional to 2,453.10, 3,679.67 and 991.91

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Solution

The fourth proportional to 2,453.10, 3,679.67 and 991.91 is: 1,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.10 : 3,679.67 = 991.91 : x
  2. Step 2: Convert to fraction form
    2,453.10/3,679.67 = 991.91/x
  3. Step 3: Cross multiply
    2,453.10x = 3,679.67 × 991.91
  4. Step 4: Simplify right side
    2,453.10x = 3,649,883.07
  5. Step 5: Solve for x
    x = 3,649,883.07/2,453.10
  6. Step 6: Final answer
    x = 1,487.87

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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.