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Finding the Fourth Proportional to 21,222.54, 31,833 and 7,183.62

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Solution

The fourth proportional to 21,222.54, 31,833 and 7,183.62 is: 10,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222.54 : 31,833 = 7,183.62 : x
  2. Step 2: Convert to fraction form
    21,222.54/31,833 = 7,183.62/x
  3. Step 3: Cross multiply
    21,222.54x = 31,833 × 7,183.62
  4. Step 4: Simplify right side
    21,222.54x = 228,676,175.46
  5. Step 5: Solve for x
    x = 228,676,175.46/21,222.54
  6. Step 6: Final answer
    x = 10,775.16

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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.