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Finding the Fourth Proportional to 8,724.68, 13,071.39 and 8,117.43

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Solution

The fourth proportional to 8,724.68, 13,071.39 and 8,117.43 is: 12,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.68 : 13,071.39 = 8,117.43 : x
  2. Step 2: Convert to fraction form
    8,724.68/13,071.39 = 8,117.43/x
  3. Step 3: Cross multiply
    8,724.68x = 13,071.39 × 8,117.43
  4. Step 4: Simplify right side
    8,724.68x = 106,106,093.33
  5. Step 5: Solve for x
    x = 106,106,093.33/8,724.68
  6. Step 6: Final answer
    x = 12,161.61

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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.