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Finding the Fourth Proportional to 8,231.79, 12,349.71 and 2,388.32

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Solution

The fourth proportional to 8,231.79, 12,349.71 and 2,388.32 is: 3,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.79 : 12,349.71 = 2,388.32 : x
  2. Step 2: Convert to fraction form
    8,231.79/12,349.71 = 2,388.32/x
  3. Step 3: Cross multiply
    8,231.79x = 12,349.71 × 2,388.32
  4. Step 4: Simplify right side
    8,231.79x = 29,494,997.64
  5. Step 5: Solve for x
    x = 29,494,997.64/8,231.79
  6. Step 6: Final answer
    x = 3,583.06

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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.