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Finding the Fourth Proportional to 37.81, 56.45 and 32.74

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Solution

The fourth proportional to 37.81, 56.45 and 32.74 is: 48.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.81 : 56.45 = 32.74 : x
  2. Step 2: Convert to fraction form
    37.81/56.45 = 32.74/x
  3. Step 3: Cross multiply
    37.81x = 56.45 × 32.74
  4. Step 4: Simplify right side
    37.81x = 1,848.17
  5. Step 5: Solve for x
    x = 1,848.17/37.81
  6. Step 6: Final answer
    x = 48.88

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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.