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Finding the Fourth Proportional to 21,233.54, 31,850.70 and 5,651

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Solution

The fourth proportional to 21,233.54, 31,850.70 and 5,651 is: 8,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.54 : 31,850.70 = 5,651 : x
  2. Step 2: Convert to fraction form
    21,233.54/31,850.70 = 5,651/x
  3. Step 3: Cross multiply
    21,233.54x = 31,850.70 × 5,651
  4. Step 4: Simplify right side
    21,233.54x = 179,988,305.70
  5. Step 5: Solve for x
    x = 179,988,305.70/21,233.54
  6. Step 6: Final answer
    x = 8,476.60

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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.