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Finding the Fourth Proportional to 3,722.82, 5,581.98 and 1,257.90

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Solution

The fourth proportional to 3,722.82, 5,581.98 and 1,257.90 is: 1,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.82 : 5,581.98 = 1,257.90 : x
  2. Step 2: Convert to fraction form
    3,722.82/5,581.98 = 1,257.90/x
  3. Step 3: Cross multiply
    3,722.82x = 5,581.98 × 1,257.90
  4. Step 4: Simplify right side
    3,722.82x = 7,021,572.64
  5. Step 5: Solve for x
    x = 7,021,572.64/3,722.82
  6. Step 6: Final answer
    x = 1,886.09

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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.