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Finding the Fourth Proportional to 8,164.76, 12,239.80 and 2,967

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Solution

The fourth proportional to 8,164.76, 12,239.80 and 2,967 is: 4,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.76 : 12,239.80 = 2,967 : x
  2. Step 2: Convert to fraction form
    8,164.76/12,239.80 = 2,967/x
  3. Step 3: Cross multiply
    8,164.76x = 12,239.80 × 2,967
  4. Step 4: Simplify right side
    8,164.76x = 36,315,486.60
  5. Step 5: Solve for x
    x = 36,315,486.60/8,164.76
  6. Step 6: Final answer
    x = 4,447.83

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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.