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Finding the Fourth Proportional to 6,791.96, 9,370.10 and 4,138.40

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Solution

The fourth proportional to 6,791.96, 9,370.10 and 4,138.40 is: 5,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.96 : 9,370.10 = 4,138.40 : x
  2. Step 2: Convert to fraction form
    6,791.96/9,370.10 = 4,138.40/x
  3. Step 3: Cross multiply
    6,791.96x = 9,370.10 × 4,138.40
  4. Step 4: Simplify right side
    6,791.96x = 38,777,221.84
  5. Step 5: Solve for x
    x = 38,777,221.84/6,791.96
  6. Step 6: Final answer
    x = 5,709.28

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1.5x scale

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.