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Finding the Fourth Proportional to 37,755, 52,101.90 and 20,991.24

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Solution

The fourth proportional to 37,755, 52,101.90 and 20,991.24 is: 28,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,755 : 52,101.90 = 20,991.24 : x
  2. Step 2: Convert to fraction form
    37,755/52,101.90 = 20,991.24/x
  3. Step 3: Cross multiply
    37,755x = 52,101.90 × 20,991.24
  4. Step 4: Simplify right side
    37,755x = 1,093,683,487.36
  5. Step 5: Solve for x
    x = 1,093,683,487.36/37,755
  6. Step 6: Final answer
    x = 28,967.91

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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.