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Finding the Fourth Proportional to 7,679.06, 11,509.11 and 3,979.16

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Solution

The fourth proportional to 7,679.06, 11,509.11 and 3,979.16 is: 5,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.06 : 11,509.11 = 3,979.16 : x
  2. Step 2: Convert to fraction form
    7,679.06/11,509.11 = 3,979.16/x
  3. Step 3: Cross multiply
    7,679.06x = 11,509.11 × 3,979.16
  4. Step 4: Simplify right side
    7,679.06x = 45,796,532.60
  5. Step 5: Solve for x
    x = 45,796,532.60/7,679.06
  6. Step 6: Final answer
    x = 5,963.82

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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.