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Finding the Fourth Proportional to 2,361.80, 3,543.78 and 1,129.24

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Solution

The fourth proportional to 2,361.80, 3,543.78 and 1,129.24 is: 1,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.80 : 3,543.78 = 1,129.24 : x
  2. Step 2: Convert to fraction form
    2,361.80/3,543.78 = 1,129.24/x
  3. Step 3: Cross multiply
    2,361.80x = 3,543.78 × 1,129.24
  4. Step 4: Simplify right side
    2,361.80x = 4,001,778.13
  5. Step 5: Solve for x
    x = 4,001,778.13/2,361.80
  6. Step 6: Final answer
    x = 1,694.38

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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.