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Finding the Fourth Proportional to 6,708.78, 9,258 and 3,876.54

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Solution

The fourth proportional to 6,708.78, 9,258 and 3,876.54 is: 5,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.78 : 9,258 = 3,876.54 : x
  2. Step 2: Convert to fraction form
    6,708.78/9,258 = 3,876.54/x
  3. Step 3: Cross multiply
    6,708.78x = 9,258 × 3,876.54
  4. Step 4: Simplify right side
    6,708.78x = 35,889,007.32
  5. Step 5: Solve for x
    x = 35,889,007.32/6,708.78
  6. Step 6: Final answer
    x = 5,349.56

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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.