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Finding the Fourth Proportional to 54.34, 74.91 and 37.92

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Solution

The fourth proportional to 54.34, 74.91 and 37.92 is: 52.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 74.91 = 37.92 : x
  2. Step 2: Convert to fraction form
    54.34/74.91 = 37.92/x
  3. Step 3: Cross multiply
    54.34x = 74.91 × 37.92
  4. Step 4: Simplify right side
    54.34x = 2,840.59
  5. Step 5: Solve for x
    x = 2,840.59/54.34
  6. Step 6: Final answer
    x = 52.27

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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.