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Finding the Fourth Proportional to 5,105.76, 7,644.06 and 3,865.92

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Solution

The fourth proportional to 5,105.76, 7,644.06 and 3,865.92 is: 5,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.76 : 7,644.06 = 3,865.92 : x
  2. Step 2: Convert to fraction form
    5,105.76/7,644.06 = 3,865.92/x
  3. Step 3: Cross multiply
    5,105.76x = 7,644.06 × 3,865.92
  4. Step 4: Simplify right side
    5,105.76x = 29,551,324.44
  5. Step 5: Solve for x
    x = 29,551,324.44/5,105.76
  6. Step 6: Final answer
    x = 5,787.84

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1.5x scale

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.