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Finding the Fourth Proportional to 2,197.56, 3,287.70 and 1,978.68

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Solution

The fourth proportional to 2,197.56, 3,287.70 and 1,978.68 is: 2,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.56 : 3,287.70 = 1,978.68 : x
  2. Step 2: Convert to fraction form
    2,197.56/3,287.70 = 1,978.68/x
  3. Step 3: Cross multiply
    2,197.56x = 3,287.70 × 1,978.68
  4. Step 4: Simplify right side
    2,197.56x = 6,505,306.24
  5. Step 5: Solve for x
    x = 6,505,306.24/2,197.56
  6. Step 6: Final answer
    x = 2,960.24

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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.