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Finding the Fourth Proportional to 1,874.88, 2,809.24 and 641.61

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Solution

The fourth proportional to 1,874.88, 2,809.24 and 641.61 is: 961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.88 : 2,809.24 = 641.61 : x
  2. Step 2: Convert to fraction form
    1,874.88/2,809.24 = 641.61/x
  3. Step 3: Cross multiply
    1,874.88x = 2,809.24 × 641.61
  4. Step 4: Simplify right side
    1,874.88x = 1,802,433.27
  5. Step 5: Solve for x
    x = 1,802,433.27/1,874.88
  6. Step 6: Final answer
    x = 961.36

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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.