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Finding the Fourth Proportional to 9,171.28, 13,764.78 and 9,102.25

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Solution

The fourth proportional to 9,171.28, 13,764.78 and 9,102.25 is: 13,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.28 : 13,764.78 = 9,102.25 : x
  2. Step 2: Convert to fraction form
    9,171.28/13,764.78 = 9,102.25/x
  3. Step 3: Cross multiply
    9,171.28x = 13,764.78 × 9,102.25
  4. Step 4: Simplify right side
    9,171.28x = 125,290,468.76
  5. Step 5: Solve for x
    x = 125,290,468.76/9,171.28
  6. Step 6: Final answer
    x = 13,661.18

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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.