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Finding the Fourth Proportional to 12,207.60, 16,844.49 and 7,170.75

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Solution

The fourth proportional to 12,207.60, 16,844.49 and 7,170.75 is: 9,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.60 : 16,844.49 = 7,170.75 : x
  2. Step 2: Convert to fraction form
    12,207.60/16,844.49 = 7,170.75/x
  3. Step 3: Cross multiply
    12,207.60x = 16,844.49 × 7,170.75
  4. Step 4: Simplify right side
    12,207.60x = 120,787,626.67
  5. Step 5: Solve for x
    x = 120,787,626.67/12,207.60
  6. Step 6: Final answer
    x = 9,894.46

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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.