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Finding the Fourth Proportional to 38.92, 53.64 and 34.51

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Solution

The fourth proportional to 38.92, 53.64 and 34.51 is: 47.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.92 : 53.64 = 34.51 : x
  2. Step 2: Convert to fraction form
    38.92/53.64 = 34.51/x
  3. Step 3: Cross multiply
    38.92x = 53.64 × 34.51
  4. Step 4: Simplify right side
    38.92x = 1,851.12
  5. Step 5: Solve for x
    x = 1,851.12/38.92
  6. Step 6: Final answer
    x = 47.56

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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.