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Finding the Fourth Proportional to 5,281, 7,921.52 and 2,203

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Solution

The fourth proportional to 5,281, 7,921.52 and 2,203 is: 3,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281 : 7,921.52 = 2,203 : x
  2. Step 2: Convert to fraction form
    5,281/7,921.52 = 2,203/x
  3. Step 3: Cross multiply
    5,281x = 7,921.52 × 2,203
  4. Step 4: Simplify right side
    5,281x = 17,451,108.56
  5. Step 5: Solve for x
    x = 17,451,108.56/5,281
  6. Step 6: Final answer
    x = 3,304.51

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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.