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Finding the Fourth Proportional to 2,399, 3,310.82 and 1,351.24

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Solution

The fourth proportional to 2,399, 3,310.82 and 1,351.24 is: 1,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399 : 3,310.82 = 1,351.24 : x
  2. Step 2: Convert to fraction form
    2,399/3,310.82 = 1,351.24/x
  3. Step 3: Cross multiply
    2,399x = 3,310.82 × 1,351.24
  4. Step 4: Simplify right side
    2,399x = 4,473,712.42
  5. Step 5: Solve for x
    x = 4,473,712.42/2,399
  6. Step 6: Final answer
    x = 1,864.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.