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Finding the Fourth Proportional to 37,672.29, 51,983.84 and 21,761.87

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Solution

The fourth proportional to 37,672.29, 51,983.84 and 21,761.87 is: 30,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,672.29 : 51,983.84 = 21,761.87 : x
  2. Step 2: Convert to fraction form
    37,672.29/51,983.84 = 21,761.87/x
  3. Step 3: Cross multiply
    37,672.29x = 51,983.84 × 21,761.87
  4. Step 4: Simplify right side
    37,672.29x = 1,131,265,362.67
  5. Step 5: Solve for x
    x = 1,131,265,362.67/37,672.29
  6. Step 6: Final answer
    x = 30,029.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.