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Finding the Fourth Proportional to 6,791.10, 9,378.12 and 6,422.94

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Solution

The fourth proportional to 6,791.10, 9,378.12 and 6,422.94 is: 8,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.10 : 9,378.12 = 6,422.94 : x
  2. Step 2: Convert to fraction form
    6,791.10/9,378.12 = 6,422.94/x
  3. Step 3: Cross multiply
    6,791.10x = 9,378.12 × 6,422.94
  4. Step 4: Simplify right side
    6,791.10x = 60,235,102.07
  5. Step 5: Solve for x
    x = 60,235,102.07/6,791.10
  6. Step 6: Final answer
    x = 8,869.71

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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.