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Finding the Fourth Proportional to 8,361.84, 12,540.96 and 3,431.28

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Solution

The fourth proportional to 8,361.84, 12,540.96 and 3,431.28 is: 5,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.84 : 12,540.96 = 3,431.28 : x
  2. Step 2: Convert to fraction form
    8,361.84/12,540.96 = 3,431.28/x
  3. Step 3: Cross multiply
    8,361.84x = 12,540.96 × 3,431.28
  4. Step 4: Simplify right side
    8,361.84x = 43,031,545.23
  5. Step 5: Solve for x
    x = 43,031,545.23/8,361.84
  6. Step 6: Final answer
    x = 5,146.18

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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.