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Finding the Fourth Proportional to 3,864.76, 5,795.42 and 1,231.78

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Solution

The fourth proportional to 3,864.76, 5,795.42 and 1,231.78 is: 1,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.76 : 5,795.42 = 1,231.78 : x
  2. Step 2: Convert to fraction form
    3,864.76/5,795.42 = 1,231.78/x
  3. Step 3: Cross multiply
    3,864.76x = 5,795.42 × 1,231.78
  4. Step 4: Simplify right side
    3,864.76x = 7,138,682.45
  5. Step 5: Solve for x
    x = 7,138,682.45/3,864.76
  6. Step 6: Final answer
    x = 1,847.12

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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.