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Finding the Fourth Proportional to 6,708.78, 9,258.12 and 3,724.50

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Solution

The fourth proportional to 6,708.78, 9,258.12 and 3,724.50 is: 5,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.78 : 9,258.12 = 3,724.50 : x
  2. Step 2: Convert to fraction form
    6,708.78/9,258.12 = 3,724.50/x
  3. Step 3: Cross multiply
    6,708.78x = 9,258.12 × 3,724.50
  4. Step 4: Simplify right side
    6,708.78x = 34,481,867.94
  5. Step 5: Solve for x
    x = 34,481,867.94/6,708.78
  6. Step 6: Final answer
    x = 5,139.81

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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.