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Finding the Fourth Proportional to 2,713.14, 4,069.68 and 981.75

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Solution

The fourth proportional to 2,713.14, 4,069.68 and 981.75 is: 1,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.14 : 4,069.68 = 981.75 : x
  2. Step 2: Convert to fraction form
    2,713.14/4,069.68 = 981.75/x
  3. Step 3: Cross multiply
    2,713.14x = 4,069.68 × 981.75
  4. Step 4: Simplify right side
    2,713.14x = 3,995,408.34
  5. Step 5: Solve for x
    x = 3,995,408.34/2,713.14
  6. Step 6: Final answer
    x = 1,472.61

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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.