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Finding the Fourth Proportional to 1,418.97, 1,956.10 and 1,218.90

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Solution

The fourth proportional to 1,418.97, 1,956.10 and 1,218.90 is: 1,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.97 : 1,956.10 = 1,218.90 : x
  2. Step 2: Convert to fraction form
    1,418.97/1,956.10 = 1,218.90/x
  3. Step 3: Cross multiply
    1,418.97x = 1,956.10 × 1,218.90
  4. Step 4: Simplify right side
    1,418.97x = 2,384,285.86
  5. Step 5: Solve for x
    x = 2,384,285.86/1,418.97
  6. Step 6: Final answer
    x = 1,680.30

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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.