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Finding the Fourth Proportional to 23,227, 34,812.34 and 10,721

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Solution

The fourth proportional to 23,227, 34,812.34 and 10,721 is: 16,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227 : 34,812.34 = 10,721 : x
  2. Step 2: Convert to fraction form
    23,227/34,812.34 = 10,721/x
  3. Step 3: Cross multiply
    23,227x = 34,812.34 × 10,721
  4. Step 4: Simplify right side
    23,227x = 373,223,097.14
  5. Step 5: Solve for x
    x = 373,223,097.14/23,227
  6. Step 6: Final answer
    x = 16,068.50

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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.