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Finding the Fourth Proportional to 6,768, 9,343.68 and 5,109.12

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Solution

The fourth proportional to 6,768, 9,343.68 and 5,109.12 is: 7,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768 : 9,343.68 = 5,109.12 : x
  2. Step 2: Convert to fraction form
    6,768/9,343.68 = 5,109.12/x
  3. Step 3: Cross multiply
    6,768x = 9,343.68 × 5,109.12
  4. Step 4: Simplify right side
    6,768x = 47,737,982.36
  5. Step 5: Solve for x
    x = 47,737,982.36/6,768
  6. Step 6: Final answer
    x = 7,053.48

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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.