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Finding the Fourth Proportional to 2,942.96, 4,414.50 and 862.74

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Solution

The fourth proportional to 2,942.96, 4,414.50 and 862.74 is: 1,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.96 : 4,414.50 = 862.74 : x
  2. Step 2: Convert to fraction form
    2,942.96/4,414.50 = 862.74/x
  3. Step 3: Cross multiply
    2,942.96x = 4,414.50 × 862.74
  4. Step 4: Simplify right side
    2,942.96x = 3,808,565.73
  5. Step 5: Solve for x
    x = 3,808,565.73/2,942.96
  6. Step 6: Final answer
    x = 1,294.13

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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.