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Finding the Fourth Proportional to 2,866.28, 4,299.42 and 2,292.80

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Solution

The fourth proportional to 2,866.28, 4,299.42 and 2,292.80 is: 3,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.28 : 4,299.42 = 2,292.80 : x
  2. Step 2: Convert to fraction form
    2,866.28/4,299.42 = 2,292.80/x
  3. Step 3: Cross multiply
    2,866.28x = 4,299.42 × 2,292.80
  4. Step 4: Simplify right side
    2,866.28x = 9,857,710.18
  5. Step 5: Solve for x
    x = 9,857,710.18/2,866.28
  6. Step 6: Final answer
    x = 3,439.20

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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.