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Finding the Fourth Proportional to 7,201.88, 10,807.07 and 3,041.61

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Solution

The fourth proportional to 7,201.88, 10,807.07 and 3,041.61 is: 4,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.88 : 10,807.07 = 3,041.61 : x
  2. Step 2: Convert to fraction form
    7,201.88/10,807.07 = 3,041.61/x
  3. Step 3: Cross multiply
    7,201.88x = 10,807.07 × 3,041.61
  4. Step 4: Simplify right side
    7,201.88x = 32,870,876.97
  5. Step 5: Solve for x
    x = 32,870,876.97/7,201.88
  6. Step 6: Final answer
    x = 4,564.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.