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Finding the Fourth Proportional to 1,874.38, 2,808.49 and 641.11

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Solution

The fourth proportional to 1,874.38, 2,808.49 and 641.11 is: 960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.38 : 2,808.49 = 641.11 : x
  2. Step 2: Convert to fraction form
    1,874.38/2,808.49 = 641.11/x
  3. Step 3: Cross multiply
    1,874.38x = 2,808.49 × 641.11
  4. Step 4: Simplify right side
    1,874.38x = 1,800,547.82
  5. Step 5: Solve for x
    x = 1,800,547.82/1,874.38
  6. Step 6: Final answer
    x = 960.61

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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.