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Finding the Fourth Proportional to 2,739.64, 4,110.16 and 791.86

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Solution

The fourth proportional to 2,739.64, 4,110.16 and 791.86 is: 1,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.64 : 4,110.16 = 791.86 : x
  2. Step 2: Convert to fraction form
    2,739.64/4,110.16 = 791.86/x
  3. Step 3: Cross multiply
    2,739.64x = 4,110.16 × 791.86
  4. Step 4: Simplify right side
    2,739.64x = 3,254,671.30
  5. Step 5: Solve for x
    x = 3,254,671.30/2,739.64
  6. Step 6: Final answer
    x = 1,187.99

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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.