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Finding the Fourth Proportional to 3,105.67, 4,658.50 and 2,128.81

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Solution

The fourth proportional to 3,105.67, 4,658.50 and 2,128.81 is: 3,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.67 : 4,658.50 = 2,128.81 : x
  2. Step 2: Convert to fraction form
    3,105.67/4,658.50 = 2,128.81/x
  3. Step 3: Cross multiply
    3,105.67x = 4,658.50 × 2,128.81
  4. Step 4: Simplify right side
    3,105.67x = 9,917,032.77
  5. Step 5: Solve for x
    x = 9,917,032.77/3,105.67
  6. Step 6: Final answer
    x = 3,193.21

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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.