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Finding the Fourth Proportional to 22,821, 34,231.50 and 7,238.63

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Solution

The fourth proportional to 22,821, 34,231.50 and 7,238.63 is: 10,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821 : 34,231.50 = 7,238.63 : x
  2. Step 2: Convert to fraction form
    22,821/34,231.50 = 7,238.63/x
  3. Step 3: Cross multiply
    22,821x = 34,231.50 × 7,238.63
  4. Step 4: Simplify right side
    22,821x = 247,788,991.69
  5. Step 5: Solve for x
    x = 247,788,991.69/22,821
  6. Step 6: Final answer
    x = 10,857.94

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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.