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Finding the Fourth Proportional to 3,165.66, 4,747.05 and 1,085.09

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Solution

The fourth proportional to 3,165.66, 4,747.05 and 1,085.09 is: 1,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.66 : 4,747.05 = 1,085.09 : x
  2. Step 2: Convert to fraction form
    3,165.66/4,747.05 = 1,085.09/x
  3. Step 3: Cross multiply
    3,165.66x = 4,747.05 × 1,085.09
  4. Step 4: Simplify right side
    3,165.66x = 5,150,952.75
  5. Step 5: Solve for x
    x = 5,150,952.75/3,165.66
  6. Step 6: Final answer
    x = 1,627.13

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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.