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Finding the Fourth Proportional to 8,971.72, 12,380.44 and 5,194.61

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Solution

The fourth proportional to 8,971.72, 12,380.44 and 5,194.61 is: 7,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.72 : 12,380.44 = 5,194.61 : x
  2. Step 2: Convert to fraction form
    8,971.72/12,380.44 = 5,194.61/x
  3. Step 3: Cross multiply
    8,971.72x = 12,380.44 × 5,194.61
  4. Step 4: Simplify right side
    8,971.72x = 64,311,557.43
  5. Step 5: Solve for x
    x = 64,311,557.43/8,971.72
  6. Step 6: Final answer
    x = 7,168.25

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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.