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Finding the Fourth Proportional to 2,713.89, 4,068.36 and 982.11

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Solution

The fourth proportional to 2,713.89, 4,068.36 and 982.11 is: 1,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.89 : 4,068.36 = 982.11 : x
  2. Step 2: Convert to fraction form
    2,713.89/4,068.36 = 982.11/x
  3. Step 3: Cross multiply
    2,713.89x = 4,068.36 × 982.11
  4. Step 4: Simplify right side
    2,713.89x = 3,995,577.04
  5. Step 5: Solve for x
    x = 3,995,577.04/2,713.89
  6. Step 6: Final answer
    x = 1,472.27

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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.