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Finding the Fourth Proportional to 1,874.22, 2,811.31 and 624.91

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Solution

The fourth proportional to 1,874.22, 2,811.31 and 624.91 is: 937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.22 : 2,811.31 = 624.91 : x
  2. Step 2: Convert to fraction form
    1,874.22/2,811.31 = 624.91/x
  3. Step 3: Cross multiply
    1,874.22x = 2,811.31 × 624.91
  4. Step 4: Simplify right side
    1,874.22x = 1,756,808.70
  5. Step 5: Solve for x
    x = 1,756,808.70/1,874.22
  6. Step 6: Final answer
    x = 937.36

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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.