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Finding the Fourth Proportional to 2,412.62, 3,329.31 and 1,418

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Solution

The fourth proportional to 2,412.62, 3,329.31 and 1,418 is: 1,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.62 : 3,329.31 = 1,418 : x
  2. Step 2: Convert to fraction form
    2,412.62/3,329.31 = 1,418/x
  3. Step 3: Cross multiply
    2,412.62x = 3,329.31 × 1,418
  4. Step 4: Simplify right side
    2,412.62x = 4,720,961.58
  5. Step 5: Solve for x
    x = 4,720,961.58/2,412.62
  6. Step 6: Final answer
    x = 1,956.78

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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.