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Finding the Fourth Proportional to 21,076.88, 31,617.14 and 5,494.50

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Solution

The fourth proportional to 21,076.88, 31,617.14 and 5,494.50 is: 8,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.88 : 31,617.14 = 5,494.50 : x
  2. Step 2: Convert to fraction form
    21,076.88/31,617.14 = 5,494.50/x
  3. Step 3: Cross multiply
    21,076.88x = 31,617.14 × 5,494.50
  4. Step 4: Simplify right side
    21,076.88x = 173,720,375.73
  5. Step 5: Solve for x
    x = 173,720,375.73/21,076.88
  6. Step 6: Final answer
    x = 8,242.22

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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.