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Finding the Fourth Proportional to 7,201.13, 9,938.07 and 4,057.31

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Solution

The fourth proportional to 7,201.13, 9,938.07 and 4,057.31 is: 5,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.13 : 9,938.07 = 4,057.31 : x
  2. Step 2: Convert to fraction form
    7,201.13/9,938.07 = 4,057.31/x
  3. Step 3: Cross multiply
    7,201.13x = 9,938.07 × 4,057.31
  4. Step 4: Simplify right side
    7,201.13x = 40,321,855.64
  5. Step 5: Solve for x
    x = 40,321,855.64/7,201.13
  6. Step 6: Final answer
    x = 5,599.38

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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.