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Finding the Fourth Proportional to 8,229.16, 11,361.54 and 7,343.44

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Solution

The fourth proportional to 8,229.16, 11,361.54 and 7,343.44 is: 10,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.16 : 11,361.54 = 7,343.44 : x
  2. Step 2: Convert to fraction form
    8,229.16/11,361.54 = 7,343.44/x
  3. Step 3: Cross multiply
    8,229.16x = 11,361.54 × 7,343.44
  4. Step 4: Simplify right side
    8,229.16x = 83,432,787.30
  5. Step 5: Solve for x
    x = 83,432,787.30/8,229.16
  6. Step 6: Final answer
    x = 10,138.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.