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Finding the Fourth Proportional to 2,339.87, 3,507.29 and 1,243.13

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Solution

The fourth proportional to 2,339.87, 3,507.29 and 1,243.13 is: 1,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.87 : 3,507.29 = 1,243.13 : x
  2. Step 2: Convert to fraction form
    2,339.87/3,507.29 = 1,243.13/x
  3. Step 3: Cross multiply
    2,339.87x = 3,507.29 × 1,243.13
  4. Step 4: Simplify right side
    2,339.87x = 4,360,011.20
  5. Step 5: Solve for x
    x = 4,360,011.20/2,339.87
  6. Step 6: Final answer
    x = 1,863.36

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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.