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Finding the Fourth Proportional to 2,986.72, 4,481.13 and 1,446.64

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Solution

The fourth proportional to 2,986.72, 4,481.13 and 1,446.64 is: 2,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.72 : 4,481.13 = 1,446.64 : x
  2. Step 2: Convert to fraction form
    2,986.72/4,481.13 = 1,446.64/x
  3. Step 3: Cross multiply
    2,986.72x = 4,481.13 × 1,446.64
  4. Step 4: Simplify right side
    2,986.72x = 6,482,581.90
  5. Step 5: Solve for x
    x = 6,482,581.90/2,986.72
  6. Step 6: Final answer
    x = 2,170.47

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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.