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Finding the Fourth Proportional to 37.63, 56.48 and 31.28

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Solution

The fourth proportional to 37.63, 56.48 and 31.28 is: 46.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.63 : 56.48 = 31.28 : x
  2. Step 2: Convert to fraction form
    37.63/56.48 = 31.28/x
  3. Step 3: Cross multiply
    37.63x = 56.48 × 31.28
  4. Step 4: Simplify right side
    37.63x = 1,766.69
  5. Step 5: Solve for x
    x = 1,766.69/37.63
  6. Step 6: Final answer
    x = 46.95

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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.