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Finding the Fourth Proportional to 8,231.61, 12,347.42 and 3,297.81

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Solution

The fourth proportional to 8,231.61, 12,347.42 and 3,297.81 is: 4,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.61 : 12,347.42 = 3,297.81 : x
  2. Step 2: Convert to fraction form
    8,231.61/12,347.42 = 3,297.81/x
  3. Step 3: Cross multiply
    8,231.61x = 12,347.42 × 3,297.81
  4. Step 4: Simplify right side
    8,231.61x = 40,719,428.66
  5. Step 5: Solve for x
    x = 40,719,428.66/8,231.61
  6. Step 6: Final answer
    x = 4,946.72

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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.