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Finding the Fourth Proportional to 9,221.80, 13,842.32 and 8,174.27

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Solution

The fourth proportional to 9,221.80, 13,842.32 and 8,174.27 is: 12,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.80 : 13,842.32 = 8,174.27 : x
  2. Step 2: Convert to fraction form
    9,221.80/13,842.32 = 8,174.27/x
  3. Step 3: Cross multiply
    9,221.80x = 13,842.32 × 8,174.27
  4. Step 4: Simplify right side
    9,221.80x = 113,150,858.37
  5. Step 5: Solve for x
    x = 113,150,858.37/9,221.80
  6. Step 6: Final answer
    x = 12,269.93

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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.