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Finding the Fourth Proportional to 6,808, 9,395.01 and 3,977.32

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Solution

The fourth proportional to 6,808, 9,395.01 and 3,977.32 is: 5,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808 : 9,395.01 = 3,977.32 : x
  2. Step 2: Convert to fraction form
    6,808/9,395.01 = 3,977.32/x
  3. Step 3: Cross multiply
    6,808x = 9,395.01 × 3,977.32
  4. Step 4: Simplify right side
    6,808x = 37,366,961.17
  5. Step 5: Solve for x
    x = 37,366,961.17/6,808
  6. Step 6: Final answer
    x = 5,488.68

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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.