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Finding the Fourth Proportional to 3,984.71, 5,979.11 and 3,016.76

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Solution

The fourth proportional to 3,984.71, 5,979.11 and 3,016.76 is: 4,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.71 : 5,979.11 = 3,016.76 : x
  2. Step 2: Convert to fraction form
    3,984.71/5,979.11 = 3,016.76/x
  3. Step 3: Cross multiply
    3,984.71x = 5,979.11 × 3,016.76
  4. Step 4: Simplify right side
    3,984.71x = 18,037,494.90
  5. Step 5: Solve for x
    x = 18,037,494.90/3,984.71
  6. Step 6: Final answer
    x = 4,526.68

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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.