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Finding the Fourth Proportional to 3,811.56, 5,719.26 and 1,761

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Solution

The fourth proportional to 3,811.56, 5,719.26 and 1,761 is: 2,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.56 : 5,719.26 = 1,761 : x
  2. Step 2: Convert to fraction form
    3,811.56/5,719.26 = 1,761/x
  3. Step 3: Cross multiply
    3,811.56x = 5,719.26 × 1,761
  4. Step 4: Simplify right side
    3,811.56x = 10,071,616.86
  5. Step 5: Solve for x
    x = 10,071,616.86/3,811.56
  6. Step 6: Final answer
    x = 2,642.39

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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.