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Finding the Fourth Proportional to 8,186.64, 12,282.23 and 3,259.74

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Solution

The fourth proportional to 8,186.64, 12,282.23 and 3,259.74 is: 4,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.64 : 12,282.23 = 3,259.74 : x
  2. Step 2: Convert to fraction form
    8,186.64/12,282.23 = 3,259.74/x
  3. Step 3: Cross multiply
    8,186.64x = 12,282.23 × 3,259.74
  4. Step 4: Simplify right side
    8,186.64x = 40,036,860.12
  5. Step 5: Solve for x
    x = 40,036,860.12/8,186.64
  6. Step 6: Final answer
    x = 4,890.51

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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.