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Finding the Fourth Proportional to 6,810.88, 9,399.02 and 3,826.71

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Solution

The fourth proportional to 6,810.88, 9,399.02 and 3,826.71 is: 5,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.88 : 9,399.02 = 3,826.71 : x
  2. Step 2: Convert to fraction form
    6,810.88/9,399.02 = 3,826.71/x
  3. Step 3: Cross multiply
    6,810.88x = 9,399.02 × 3,826.71
  4. Step 4: Simplify right side
    6,810.88x = 35,967,375.81
  5. Step 5: Solve for x
    x = 35,967,375.81/6,810.88
  6. Step 6: Final answer
    x = 5,280.87

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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.