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Finding the Fourth Proportional to 6,800, 9,384 and 4,007.36

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Solution

The fourth proportional to 6,800, 9,384 and 4,007.36 is: 5,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800 : 9,384 = 4,007.36 : x
  2. Step 2: Convert to fraction form
    6,800/9,384 = 4,007.36/x
  3. Step 3: Cross multiply
    6,800x = 9,384 × 4,007.36
  4. Step 4: Simplify right side
    6,800x = 37,605,066.24
  5. Step 5: Solve for x
    x = 37,605,066.24/6,800
  6. Step 6: Final answer
    x = 5,530.16

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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.