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Finding the Fourth Proportional to 2,746.72, 4,119.96 and 799

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Solution

The fourth proportional to 2,746.72, 4,119.96 and 799 is: 1,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.72 : 4,119.96 = 799 : x
  2. Step 2: Convert to fraction form
    2,746.72/4,119.96 = 799/x
  3. Step 3: Cross multiply
    2,746.72x = 4,119.96 × 799
  4. Step 4: Simplify right side
    2,746.72x = 3,291,848.04
  5. Step 5: Solve for x
    x = 3,291,848.04/2,746.72
  6. Step 6: Final answer
    x = 1,198.47

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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.