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Finding the Fourth Proportional to 5,281.28, 7,282.88 and 3,512.96

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Solution

The fourth proportional to 5,281.28, 7,282.88 and 3,512.96 is: 4,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.28 : 7,282.88 = 3,512.96 : x
  2. Step 2: Convert to fraction form
    5,281.28/7,282.88 = 3,512.96/x
  3. Step 3: Cross multiply
    5,281.28x = 7,282.88 × 3,512.96
  4. Step 4: Simplify right side
    5,281.28x = 25,584,466.12
  5. Step 5: Solve for x
    x = 25,584,466.12/5,281.28
  6. Step 6: Final answer
    x = 4,844.37

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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.