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Finding the Fourth Proportional to 1,874.20, 2,811.60 and 641.75

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Solution

The fourth proportional to 1,874.20, 2,811.60 and 641.75 is: 962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.20 : 2,811.60 = 641.75 : x
  2. Step 2: Convert to fraction form
    1,874.20/2,811.60 = 641.75/x
  3. Step 3: Cross multiply
    1,874.20x = 2,811.60 × 641.75
  4. Step 4: Simplify right side
    1,874.20x = 1,804,344.30
  5. Step 5: Solve for x
    x = 1,804,344.30/1,874.20
  6. Step 6: Final answer
    x = 962.73

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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.