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Finding the Fourth Proportional to 22,507.78, 33,761.98 and 21,137.88

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Solution

The fourth proportional to 22,507.78, 33,761.98 and 21,137.88 is: 31,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.78 : 33,761.98 = 21,137.88 : x
  2. Step 2: Convert to fraction form
    22,507.78/33,761.98 = 21,137.88/x
  3. Step 3: Cross multiply
    22,507.78x = 33,761.98 × 21,137.88
  4. Step 4: Simplify right side
    22,507.78x = 713,656,681.80
  5. Step 5: Solve for x
    x = 713,656,681.80/22,507.78
  6. Step 6: Final answer
    x = 31,707.11

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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.