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Finding the Fourth Proportional to 7,129.28, 9,838 and 3,942.39

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Solution

The fourth proportional to 7,129.28, 9,838 and 3,942.39 is: 5,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.28 : 9,838 = 3,942.39 : x
  2. Step 2: Convert to fraction form
    7,129.28/9,838 = 3,942.39/x
  3. Step 3: Cross multiply
    7,129.28x = 9,838 × 3,942.39
  4. Step 4: Simplify right side
    7,129.28x = 38,785,232.82
  5. Step 5: Solve for x
    x = 38,785,232.82/7,129.28
  6. Step 6: Final answer
    x = 5,440.27

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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.