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Finding the Fourth Proportional to 8,917.09, 12,311.60 and 7,969.84

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Solution

The fourth proportional to 8,917.09, 12,311.60 and 7,969.84 is: 11,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.09 : 12,311.60 = 7,969.84 : x
  2. Step 2: Convert to fraction form
    8,917.09/12,311.60 = 7,969.84/x
  3. Step 3: Cross multiply
    8,917.09x = 12,311.60 × 7,969.84
  4. Step 4: Simplify right side
    8,917.09x = 98,121,480.77
  5. Step 5: Solve for x
    x = 98,121,480.77/8,917.09
  6. Step 6: Final answer
    x = 11,003.76

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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.