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Finding the Fourth Proportional to 22,791.65, 31,443 and 15,138.50

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Solution

The fourth proportional to 22,791.65, 31,443 and 15,138.50 is: 20,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,791.65 : 31,443 = 15,138.50 : x
  2. Step 2: Convert to fraction form
    22,791.65/31,443 = 15,138.50/x
  3. Step 3: Cross multiply
    22,791.65x = 31,443 × 15,138.50
  4. Step 4: Simplify right side
    22,791.65x = 475,999,855.50
  5. Step 5: Solve for x
    x = 475,999,855.50/22,791.65
  6. Step 6: Final answer
    x = 20,884.84

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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.