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Finding the Fourth Proportional to 2,028.18, 3,042.61 and 641.19

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Solution

The fourth proportional to 2,028.18, 3,042.61 and 641.19 is: 961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.18 : 3,042.61 = 641.19 : x
  2. Step 2: Convert to fraction form
    2,028.18/3,042.61 = 641.19/x
  3. Step 3: Cross multiply
    2,028.18x = 3,042.61 × 641.19
  4. Step 4: Simplify right side
    2,028.18x = 1,950,904.52
  5. Step 5: Solve for x
    x = 1,950,904.52/2,028.18
  6. Step 6: Final answer
    x = 961.90

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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.