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Finding the Fourth Proportional to 6,791.40, 10,187.22 and 2,174.40

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Solution

The fourth proportional to 6,791.40, 10,187.22 and 2,174.40 is: 3,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.40 : 10,187.22 = 2,174.40 : x
  2. Step 2: Convert to fraction form
    6,791.40/10,187.22 = 2,174.40/x
  3. Step 3: Cross multiply
    6,791.40x = 10,187.22 × 2,174.40
  4. Step 4: Simplify right side
    6,791.40x = 22,151,091.17
  5. Step 5: Solve for x
    x = 22,151,091.17/6,791.40
  6. Step 6: Final answer
    x = 3,261.64

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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.