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Finding the Fourth Proportional to 37.71, 56.19 and 33.67

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Solution

The fourth proportional to 37.71, 56.19 and 33.67 is: 50.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.71 : 56.19 = 33.67 : x
  2. Step 2: Convert to fraction form
    37.71/56.19 = 33.67/x
  3. Step 3: Cross multiply
    37.71x = 56.19 × 33.67
  4. Step 4: Simplify right side
    37.71x = 1,892.10
  5. Step 5: Solve for x
    x = 1,892.10/37.71
  6. Step 6: Final answer
    x = 50.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.