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Finding the Fourth Proportional to 7,231.02, 9,978.94 and 4,087.20

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Solution

The fourth proportional to 7,231.02, 9,978.94 and 4,087.20 is: 5,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.02 : 9,978.94 = 4,087.20 : x
  2. Step 2: Convert to fraction form
    7,231.02/9,978.94 = 4,087.20/x
  3. Step 3: Cross multiply
    7,231.02x = 9,978.94 × 4,087.20
  4. Step 4: Simplify right side
    7,231.02x = 40,785,923.57
  5. Step 5: Solve for x
    x = 40,785,923.57/7,231.02
  6. Step 6: Final answer
    x = 5,640.41

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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.