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Finding the Fourth Proportional to 7,201.28, 9,936.56 and 4,013.87

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Solution

The fourth proportional to 7,201.28, 9,936.56 and 4,013.87 is: 5,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.28 : 9,936.56 = 4,013.87 : x
  2. Step 2: Convert to fraction form
    7,201.28/9,936.56 = 4,013.87/x
  3. Step 3: Cross multiply
    7,201.28x = 9,936.56 × 4,013.87
  4. Step 4: Simplify right side
    7,201.28x = 39,883,990.34
  5. Step 5: Solve for x
    x = 39,883,990.34/7,201.28
  6. Step 6: Final answer
    x = 5,538.46

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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.