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Finding the Fourth Proportional to 3,722.31, 5,581.17 and 1,256.90

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Solution

The fourth proportional to 3,722.31, 5,581.17 and 1,256.90 is: 1,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.31 : 5,581.17 = 1,256.90 : x
  2. Step 2: Convert to fraction form
    3,722.31/5,581.17 = 1,256.90/x
  3. Step 3: Cross multiply
    3,722.31x = 5,581.17 × 1,256.90
  4. Step 4: Simplify right side
    3,722.31x = 7,014,944.67
  5. Step 5: Solve for x
    x = 7,014,944.67/3,722.31
  6. Step 6: Final answer
    x = 1,884.57

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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.