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Finding the Fourth Proportional to 2,741.23, 4,112.11 and 766.86

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Solution

The fourth proportional to 2,741.23, 4,112.11 and 766.86 is: 1,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.23 : 4,112.11 = 766.86 : x
  2. Step 2: Convert to fraction form
    2,741.23/4,112.11 = 766.86/x
  3. Step 3: Cross multiply
    2,741.23x = 4,112.11 × 766.86
  4. Step 4: Simplify right side
    2,741.23x = 3,153,408.90
  5. Step 5: Solve for x
    x = 3,153,408.90/2,741.23
  6. Step 6: Final answer
    x = 1,150.36

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1.5x scale

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.