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Finding the Fourth Proportional to 9,998.70, 13,765.92 and 8,227.26

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Solution

The fourth proportional to 9,998.70, 13,765.92 and 8,227.26 is: 11,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.70 : 13,765.92 = 8,227.26 : x
  2. Step 2: Convert to fraction form
    9,998.70/13,765.92 = 8,227.26/x
  3. Step 3: Cross multiply
    9,998.70x = 13,765.92 × 8,227.26
  4. Step 4: Simplify right side
    9,998.70x = 113,255,802.98
  5. Step 5: Solve for x
    x = 113,255,802.98/9,998.70
  6. Step 6: Final answer
    x = 11,327.05

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Half scale
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Double scale
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Similar ratio
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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.