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Finding the Fourth Proportional to 2,866.50, 3,962.39 and 2,391.63

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Solution

The fourth proportional to 2,866.50, 3,962.39 and 2,391.63 is: 3,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.50 : 3,962.39 = 2,391.63 : x
  2. Step 2: Convert to fraction form
    2,866.50/3,962.39 = 2,391.63/x
  3. Step 3: Cross multiply
    2,866.50x = 3,962.39 × 2,391.63
  4. Step 4: Simplify right side
    2,866.50x = 9,476,557.43
  5. Step 5: Solve for x
    x = 9,476,557.43/2,866.50
  6. Step 6: Final answer
    x = 3,305.97

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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.