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Finding the Fourth Proportional to 2,942.80, 4,414.36 and 862.80

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Solution

The fourth proportional to 2,942.80, 4,414.36 and 862.80 is: 1,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.80 : 4,414.36 = 862.80 : x
  2. Step 2: Convert to fraction form
    2,942.80/4,414.36 = 862.80/x
  3. Step 3: Cross multiply
    2,942.80x = 4,414.36 × 862.80
  4. Step 4: Simplify right side
    2,942.80x = 3,808,709.81
  5. Step 5: Solve for x
    x = 3,808,709.81/2,942.80
  6. Step 6: Final answer
    x = 1,294.25

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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.