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Finding the Fourth Proportional to 37.68, 51.88 and 36.93

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Solution

The fourth proportional to 37.68, 51.88 and 36.93 is: 50.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.68 : 51.88 = 36.93 : x
  2. Step 2: Convert to fraction form
    37.68/51.88 = 36.93/x
  3. Step 3: Cross multiply
    37.68x = 51.88 × 36.93
  4. Step 4: Simplify right side
    37.68x = 1,915.93
  5. Step 5: Solve for x
    x = 1,915.93/37.68
  6. Step 6: Final answer
    x = 50.85

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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.