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Finding the Fourth Proportional to 3,105.96, 4,658.92 and 2,009.71

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Solution

The fourth proportional to 3,105.96, 4,658.92 and 2,009.71 is: 3,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.96 : 4,658.92 = 2,009.71 : x
  2. Step 2: Convert to fraction form
    3,105.96/4,658.92 = 2,009.71/x
  3. Step 3: Cross multiply
    3,105.96x = 4,658.92 × 2,009.71
  4. Step 4: Simplify right side
    3,105.96x = 9,363,078.11
  5. Step 5: Solve for x
    x = 9,363,078.11/3,105.96
  6. Step 6: Final answer
    x = 3,014.55

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1.5x scale

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.