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Finding the Fourth Proportional to 5,489.14, 8,231.65 and 1,978.20

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Solution

The fourth proportional to 5,489.14, 8,231.65 and 1,978.20 is: 2,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.14 : 8,231.65 = 1,978.20 : x
  2. Step 2: Convert to fraction form
    5,489.14/8,231.65 = 1,978.20/x
  3. Step 3: Cross multiply
    5,489.14x = 8,231.65 × 1,978.20
  4. Step 4: Simplify right side
    5,489.14x = 16,283,850.03
  5. Step 5: Solve for x
    x = 16,283,850.03/5,489.14
  6. Step 6: Final answer
    x = 2,966.56

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1.5x scale

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.