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Finding the Fourth Proportional to 2,343.51, 3,515.41 and 863.13

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Solution

The fourth proportional to 2,343.51, 3,515.41 and 863.13 is: 1,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.51 : 3,515.41 = 863.13 : x
  2. Step 2: Convert to fraction form
    2,343.51/3,515.41 = 863.13/x
  3. Step 3: Cross multiply
    2,343.51x = 3,515.41 × 863.13
  4. Step 4: Simplify right side
    2,343.51x = 3,034,255.83
  5. Step 5: Solve for x
    x = 3,034,255.83/2,343.51
  6. Step 6: Final answer
    x = 1,294.75

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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.