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Finding the Fourth Proportional to 9,171.97, 13,750.06 and 3,902.15

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Solution

The fourth proportional to 9,171.97, 13,750.06 and 3,902.15 is: 5,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.97 : 13,750.06 = 3,902.15 : x
  2. Step 2: Convert to fraction form
    9,171.97/13,750.06 = 3,902.15/x
  3. Step 3: Cross multiply
    9,171.97x = 13,750.06 × 3,902.15
  4. Step 4: Simplify right side
    9,171.97x = 53,654,796.63
  5. Step 5: Solve for x
    x = 53,654,796.63/9,171.97
  6. Step 6: Final answer
    x = 5,849.87

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1.5x scale

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.