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Finding the Fourth Proportional to 5,691.25, 8,538.09 and 2,228.50

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Solution

The fourth proportional to 5,691.25, 8,538.09 and 2,228.50 is: 3,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.25 : 8,538.09 = 2,228.50 : x
  2. Step 2: Convert to fraction form
    5,691.25/8,538.09 = 2,228.50/x
  3. Step 3: Cross multiply
    5,691.25x = 8,538.09 × 2,228.50
  4. Step 4: Simplify right side
    5,691.25x = 19,027,133.57
  5. Step 5: Solve for x
    x = 19,027,133.57/5,691.25
  6. Step 6: Final answer
    x = 3,343.23

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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.