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Finding the Fourth Proportional to 37.87, 56.80 and 13.81

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Solution

The fourth proportional to 37.87, 56.80 and 13.81 is: 20.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.87 : 56.80 = 13.81 : x
  2. Step 2: Convert to fraction form
    37.87/56.80 = 13.81/x
  3. Step 3: Cross multiply
    37.87x = 56.80 × 13.81
  4. Step 4: Simplify right side
    37.87x = 784.41
  5. Step 5: Solve for x
    x = 784.41/37.87
  6. Step 6: Final answer
    x = 20.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.