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Finding the Fourth Proportional to 2,166, 3,249.28 and 1,011.52

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Solution

The fourth proportional to 2,166, 3,249.28 and 1,011.52 is: 1,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166 : 3,249.28 = 1,011.52 : x
  2. Step 2: Convert to fraction form
    2,166/3,249.28 = 1,011.52/x
  3. Step 3: Cross multiply
    2,166x = 3,249.28 × 1,011.52
  4. Step 4: Simplify right side
    2,166x = 3,286,711.71
  5. Step 5: Solve for x
    x = 3,286,711.71/2,166
  6. Step 6: Final answer
    x = 1,517.41

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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.