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Finding the Fourth Proportional to 3,719, 5,132.28 and 2,063

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Solution

The fourth proportional to 3,719, 5,132.28 and 2,063 is: 2,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719 : 5,132.28 = 2,063 : x
  2. Step 2: Convert to fraction form
    3,719/5,132.28 = 2,063/x
  3. Step 3: Cross multiply
    3,719x = 5,132.28 × 2,063
  4. Step 4: Simplify right side
    3,719x = 10,587,893.64
  5. Step 5: Solve for x
    x = 10,587,893.64/3,719
  6. Step 6: Final answer
    x = 2,846.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.