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Finding the Fourth Proportional to 7,454.69, 11,182 and 1,908.03

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Solution

The fourth proportional to 7,454.69, 11,182 and 1,908.03 is: 2,862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.69 : 11,182 = 1,908.03 : x
  2. Step 2: Convert to fraction form
    7,454.69/11,182 = 1,908.03/x
  3. Step 3: Cross multiply
    7,454.69x = 11,182 × 1,908.03
  4. Step 4: Simplify right side
    7,454.69x = 21,335,591.46
  5. Step 5: Solve for x
    x = 21,335,591.46/7,454.69
  6. Step 6: Final answer
    x = 2,862.04

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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.