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Finding the Fourth Proportional to 8,186.29, 12,277.29 and 2,640.30

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Solution

The fourth proportional to 8,186.29, 12,277.29 and 2,640.30 is: 3,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.29 : 12,277.29 = 2,640.30 : x
  2. Step 2: Convert to fraction form
    8,186.29/12,277.29 = 2,640.30/x
  3. Step 3: Cross multiply
    8,186.29x = 12,277.29 × 2,640.30
  4. Step 4: Simplify right side
    8,186.29x = 32,415,728.79
  5. Step 5: Solve for x
    x = 32,415,728.79/8,186.29
  6. Step 6: Final answer
    x = 3,959.76

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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.