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Finding the Fourth Proportional to 16,974.60, 25,454.70 and 8,212.20

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Solution

The fourth proportional to 16,974.60, 25,454.70 and 8,212.20 is: 12,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.60 : 25,454.70 = 8,212.20 : x
  2. Step 2: Convert to fraction form
    16,974.60/25,454.70 = 8,212.20/x
  3. Step 3: Cross multiply
    16,974.60x = 25,454.70 × 8,212.20
  4. Step 4: Simplify right side
    16,974.60x = 209,039,087.34
  5. Step 5: Solve for x
    x = 209,039,087.34/16,974.60
  6. Step 6: Final answer
    x = 12,314.82

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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.