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Finding the Fourth Proportional to 12,231.72, 16,868.16 and 8,207.64

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Solution

The fourth proportional to 12,231.72, 16,868.16 and 8,207.64 is: 11,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.72 : 16,868.16 = 8,207.64 : x
  2. Step 2: Convert to fraction form
    12,231.72/16,868.16 = 8,207.64/x
  3. Step 3: Cross multiply
    12,231.72x = 16,868.16 × 8,207.64
  4. Step 4: Simplify right side
    12,231.72x = 138,447,784.74
  5. Step 5: Solve for x
    x = 138,447,784.74/12,231.72
  6. Step 6: Final answer
    x = 11,318.75

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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.