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Finding the Fourth Proportional to 2,399.12, 3,599.24 and 755.53

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Solution

The fourth proportional to 2,399.12, 3,599.24 and 755.53 is: 1,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.12 : 3,599.24 = 755.53 : x
  2. Step 2: Convert to fraction form
    2,399.12/3,599.24 = 755.53/x
  3. Step 3: Cross multiply
    2,399.12x = 3,599.24 × 755.53
  4. Step 4: Simplify right side
    2,399.12x = 2,719,321.02
  5. Step 5: Solve for x
    x = 2,719,321.02/2,399.12
  6. Step 6: Final answer
    x = 1,133.47

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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.