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Finding the Fourth Proportional to 5,255.81, 7,252.88 and 2,865.82

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Solution

The fourth proportional to 5,255.81, 7,252.88 and 2,865.82 is: 3,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.81 : 7,252.88 = 2,865.82 : x
  2. Step 2: Convert to fraction form
    5,255.81/7,252.88 = 2,865.82/x
  3. Step 3: Cross multiply
    5,255.81x = 7,252.88 × 2,865.82
  4. Step 4: Simplify right side
    5,255.81x = 20,785,443.30
  5. Step 5: Solve for x
    x = 20,785,443.30/5,255.81
  6. Step 6: Final answer
    x = 3,954.76

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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.