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Finding the Fourth Proportional to 2,319.97, 3,479.96 and 857.42

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Solution

The fourth proportional to 2,319.97, 3,479.96 and 857.42 is: 1,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.97 : 3,479.96 = 857.42 : x
  2. Step 2: Convert to fraction form
    2,319.97/3,479.96 = 857.42/x
  3. Step 3: Cross multiply
    2,319.97x = 3,479.96 × 857.42
  4. Step 4: Simplify right side
    2,319.97x = 2,983,787.30
  5. Step 5: Solve for x
    x = 2,983,787.30/2,319.97
  6. Step 6: Final answer
    x = 1,286.13

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Similar ratio
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1.5x scale

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.