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Finding the Fourth Proportional to 10,222, 15,333 and 3,296.52

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Solution

The fourth proportional to 10,222, 15,333 and 3,296.52 is: 4,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222 : 15,333 = 3,296.52 : x
  2. Step 2: Convert to fraction form
    10,222/15,333 = 3,296.52/x
  3. Step 3: Cross multiply
    10,222x = 15,333 × 3,296.52
  4. Step 4: Simplify right side
    10,222x = 50,545,541.16
  5. Step 5: Solve for x
    x = 50,545,541.16/10,222
  6. Step 6: Final answer
    x = 4,944.78

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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.