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Finding the Fourth Proportional to 2,105, 3,157.56 and 566

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Solution

The fourth proportional to 2,105, 3,157.56 and 566 is: 849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105 : 3,157.56 = 566 : x
  2. Step 2: Convert to fraction form
    2,105/3,157.56 = 566/x
  3. Step 3: Cross multiply
    2,105x = 3,157.56 × 566
  4. Step 4: Simplify right side
    2,105x = 1,787,178.96
  5. Step 5: Solve for x
    x = 1,787,178.96/2,105
  6. Step 6: Final answer
    x = 849.02

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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.