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Finding the Fourth Proportional to 2,865.60, 4,299.60 and 2,753.82

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Solution

The fourth proportional to 2,865.60, 4,299.60 and 2,753.82 is: 4,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.60 : 4,299.60 = 2,753.82 : x
  2. Step 2: Convert to fraction form
    2,865.60/4,299.60 = 2,753.82/x
  3. Step 3: Cross multiply
    2,865.60x = 4,299.60 × 2,753.82
  4. Step 4: Simplify right side
    2,865.60x = 11,840,324.47
  5. Step 5: Solve for x
    x = 11,840,324.47/2,865.60
  6. Step 6: Final answer
    x = 4,131.88

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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.