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Finding the Fourth Proportional to 37,755.71, 52,102.40 and 21,839.82

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Solution

The fourth proportional to 37,755.71, 52,102.40 and 21,839.82 is: 30,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,755.71 : 52,102.40 = 21,839.82 : x
  2. Step 2: Convert to fraction form
    37,755.71/52,102.40 = 21,839.82/x
  3. Step 3: Cross multiply
    37,755.71x = 52,102.40 × 21,839.82
  4. Step 4: Simplify right side
    37,755.71x = 1,137,907,037.57
  5. Step 5: Solve for x
    x = 1,137,907,037.57/37,755.71
  6. Step 6: Final answer
    x = 30,138.67

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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.