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Finding the Fourth Proportional to 9,171.80, 13,765.56 and 9,102.77

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Solution

The fourth proportional to 9,171.80, 13,765.56 and 9,102.77 is: 13,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.80 : 13,765.56 = 9,102.77 : x
  2. Step 2: Convert to fraction form
    9,171.80/13,765.56 = 9,102.77/x
  3. Step 3: Cross multiply
    9,171.80x = 13,765.56 × 9,102.77
  4. Step 4: Simplify right side
    9,171.80x = 125,304,726.60
  5. Step 5: Solve for x
    x = 125,304,726.60/9,171.80
  6. Step 6: Final answer
    x = 13,661.96

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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.