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Finding the Fourth Proportional to 8,617.96, 12,919.74 and 8,209.72

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Solution

The fourth proportional to 8,617.96, 12,919.74 and 8,209.72 is: 12,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.96 : 12,919.74 = 8,209.72 : x
  2. Step 2: Convert to fraction form
    8,617.96/12,919.74 = 8,209.72/x
  3. Step 3: Cross multiply
    8,617.96x = 12,919.74 × 8,209.72
  4. Step 4: Simplify right side
    8,617.96x = 106,067,447.87
  5. Step 5: Solve for x
    x = 106,067,447.87/8,617.96
  6. Step 6: Final answer
    x = 12,307.72

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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.