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Finding the Fourth Proportional to 5,321.54, 7,981.90 and 2,200.74

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Solution

The fourth proportional to 5,321.54, 7,981.90 and 2,200.74 is: 3,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.54 : 7,981.90 = 2,200.74 : x
  2. Step 2: Convert to fraction form
    5,321.54/7,981.90 = 2,200.74/x
  3. Step 3: Cross multiply
    5,321.54x = 7,981.90 × 2,200.74
  4. Step 4: Simplify right side
    5,321.54x = 17,566,086.61
  5. Step 5: Solve for x
    x = 17,566,086.61/5,321.54
  6. Step 6: Final answer
    x = 3,300.94

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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.