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Finding the Fourth Proportional to 2,766, 3,817.12 and 1,524

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Solution

The fourth proportional to 2,766, 3,817.12 and 1,524 is: 2,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766 : 3,817.12 = 1,524 : x
  2. Step 2: Convert to fraction form
    2,766/3,817.12 = 1,524/x
  3. Step 3: Cross multiply
    2,766x = 3,817.12 × 1,524
  4. Step 4: Simplify right side
    2,766x = 5,817,290.88
  5. Step 5: Solve for x
    x = 5,817,290.88/2,766
  6. Step 6: Final answer
    x = 2,103.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.