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Finding the Fourth Proportional to 8,161.82, 12,258.93 and 6,991.37

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Solution

The fourth proportional to 8,161.82, 12,258.93 and 6,991.37 is: 10,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.82 : 12,258.93 = 6,991.37 : x
  2. Step 2: Convert to fraction form
    8,161.82/12,258.93 = 6,991.37/x
  3. Step 3: Cross multiply
    8,161.82x = 12,258.93 × 6,991.37
  4. Step 4: Simplify right side
    8,161.82x = 85,706,715.43
  5. Step 5: Solve for x
    x = 85,706,715.43/8,161.82
  6. Step 6: Final answer
    x = 10,500.93

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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.