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Finding the Fourth Proportional to 8,722.25, 13,088.86 and 8,161.83

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Solution

The fourth proportional to 8,722.25, 13,088.86 and 8,161.83 is: 12,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.25 : 13,088.86 = 8,161.83 : x
  2. Step 2: Convert to fraction form
    8,722.25/13,088.86 = 8,161.83/x
  3. Step 3: Cross multiply
    8,722.25x = 13,088.86 × 8,161.83
  4. Step 4: Simplify right side
    8,722.25x = 106,829,029.81
  5. Step 5: Solve for x
    x = 106,829,029.81/8,722.25
  6. Step 6: Final answer
    x = 12,247.88

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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.