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Finding the Fourth Proportional to 37.74, 52.09 and 21.37

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Solution

The fourth proportional to 37.74, 52.09 and 21.37 is: 29.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.74 : 52.09 = 21.37 : x
  2. Step 2: Convert to fraction form
    37.74/52.09 = 21.37/x
  3. Step 3: Cross multiply
    37.74x = 52.09 × 21.37
  4. Step 4: Simplify right side
    37.74x = 1,113.16
  5. Step 5: Solve for x
    x = 1,113.16/37.74
  6. Step 6: Final answer
    x = 29.50

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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.