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Finding the Fourth Proportional to 7,079, 9,769.02 and 3,935.82

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Solution

The fourth proportional to 7,079, 9,769.02 and 3,935.82 is: 5,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079 : 9,769.02 = 3,935.82 : x
  2. Step 2: Convert to fraction form
    7,079/9,769.02 = 3,935.82/x
  3. Step 3: Cross multiply
    7,079x = 9,769.02 × 3,935.82
  4. Step 4: Simplify right side
    7,079x = 38,449,104.30
  5. Step 5: Solve for x
    x = 38,449,104.30/7,079
  6. Step 6: Final answer
    x = 5,431.43

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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.