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Finding the Fourth Proportional to 2,361.64, 3,543 and 1,129.36

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Solution

The fourth proportional to 2,361.64, 3,543 and 1,129.36 is: 1,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.64 : 3,543 = 1,129.36 : x
  2. Step 2: Convert to fraction form
    2,361.64/3,543 = 1,129.36/x
  3. Step 3: Cross multiply
    2,361.64x = 3,543 × 1,129.36
  4. Step 4: Simplify right side
    2,361.64x = 4,001,322.48
  5. Step 5: Solve for x
    x = 4,001,322.48/2,361.64
  6. Step 6: Final answer
    x = 1,694.30

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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.