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Finding the Fourth Proportional to 3,138.35, 4,698.27 and 2,749.11

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Solution

The fourth proportional to 3,138.35, 4,698.27 and 2,749.11 is: 4,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.35 : 4,698.27 = 2,749.11 : x
  2. Step 2: Convert to fraction form
    3,138.35/4,698.27 = 2,749.11/x
  3. Step 3: Cross multiply
    3,138.35x = 4,698.27 × 2,749.11
  4. Step 4: Simplify right side
    3,138.35x = 12,916,061.04
  5. Step 5: Solve for x
    x = 12,916,061.04/3,138.35
  6. Step 6: Final answer
    x = 4,115.56

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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.