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Finding the Fourth Proportional to 34.88, 48.06 and 27.93

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Solution

The fourth proportional to 34.88, 48.06 and 27.93 is: 38.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.88 : 48.06 = 27.93 : x
  2. Step 2: Convert to fraction form
    34.88/48.06 = 27.93/x
  3. Step 3: Cross multiply
    34.88x = 48.06 × 27.93
  4. Step 4: Simplify right side
    34.88x = 1,342.32
  5. Step 5: Solve for x
    x = 1,342.32/34.88
  6. Step 6: Final answer
    x = 38.49

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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.