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Finding the Fourth Proportional to 2,711.10, 4,069.08 and 1,982.10

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Solution

The fourth proportional to 2,711.10, 4,069.08 and 1,982.10 is: 2,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.10 : 4,069.08 = 1,982.10 : x
  2. Step 2: Convert to fraction form
    2,711.10/4,069.08 = 1,982.10/x
  3. Step 3: Cross multiply
    2,711.10x = 4,069.08 × 1,982.10
  4. Step 4: Simplify right side
    2,711.10x = 8,065,323.47
  5. Step 5: Solve for x
    x = 8,065,323.47/2,711.10
  6. Step 6: Final answer
    x = 2,974.93

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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.