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Finding the Fourth Proportional to 9,221.14, 12,727.89 and 7,975.58

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Solution

The fourth proportional to 9,221.14, 12,727.89 and 7,975.58 is: 11,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.14 : 12,727.89 = 7,975.58 : x
  2. Step 2: Convert to fraction form
    9,221.14/12,727.89 = 7,975.58/x
  3. Step 3: Cross multiply
    9,221.14x = 12,727.89 × 7,975.58
  4. Step 4: Simplify right side
    9,221.14x = 101,512,304.93
  5. Step 5: Solve for x
    x = 101,512,304.93/9,221.14
  6. Step 6: Final answer
    x = 11,008.65

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1.5x scale

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.