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Finding the Fourth Proportional to 2,719.21, 4,078.89 and 771.43

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Solution

The fourth proportional to 2,719.21, 4,078.89 and 771.43 is: 1,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.21 : 4,078.89 = 771.43 : x
  2. Step 2: Convert to fraction form
    2,719.21/4,078.89 = 771.43/x
  3. Step 3: Cross multiply
    2,719.21x = 4,078.89 × 771.43
  4. Step 4: Simplify right side
    2,719.21x = 3,146,578.11
  5. Step 5: Solve for x
    x = 3,146,578.11/2,719.21
  6. Step 6: Final answer
    x = 1,157.17

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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.