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Finding the Fourth Proportional to 3,850.79, 5,776.17 and 1,542.29

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Solution

The fourth proportional to 3,850.79, 5,776.17 and 1,542.29 is: 2,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.79 : 5,776.17 = 1,542.29 : x
  2. Step 2: Convert to fraction form
    3,850.79/5,776.17 = 1,542.29/x
  3. Step 3: Cross multiply
    3,850.79x = 5,776.17 × 1,542.29
  4. Step 4: Simplify right side
    3,850.79x = 8,908,500.35
  5. Step 5: Solve for x
    x = 8,908,500.35/3,850.79
  6. Step 6: Final answer
    x = 2,313.42

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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.