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Finding the Fourth Proportional to 21,202.74, 31,805.01 and 7,163.10

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Solution

The fourth proportional to 21,202.74, 31,805.01 and 7,163.10 is: 10,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.74 : 31,805.01 = 7,163.10 : x
  2. Step 2: Convert to fraction form
    21,202.74/31,805.01 = 7,163.10/x
  3. Step 3: Cross multiply
    21,202.74x = 31,805.01 × 7,163.10
  4. Step 4: Simplify right side
    21,202.74x = 227,822,467.13
  5. Step 5: Solve for x
    x = 227,822,467.13/21,202.74
  6. Step 6: Final answer
    x = 10,744.95

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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.