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Finding the Fourth Proportional to 6,757, 10,112.20 and 5,358.54

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Solution

The fourth proportional to 6,757, 10,112.20 and 5,358.54 is: 8,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757 : 10,112.20 = 5,358.54 : x
  2. Step 2: Convert to fraction form
    6,757/10,112.20 = 5,358.54/x
  3. Step 3: Cross multiply
    6,757x = 10,112.20 × 5,358.54
  4. Step 4: Simplify right side
    6,757x = 54,186,628.19
  5. Step 5: Solve for x
    x = 54,186,628.19/6,757
  6. Step 6: Final answer
    x = 8,019.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.