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Finding the Fourth Proportional to 57.54, 86.72 and 54.51

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Solution

The fourth proportional to 57.54, 86.72 and 54.51 is: 82.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.54 : 86.72 = 54.51 : x
  2. Step 2: Convert to fraction form
    57.54/86.72 = 54.51/x
  3. Step 3: Cross multiply
    57.54x = 86.72 × 54.51
  4. Step 4: Simplify right side
    57.54x = 4,726.82
  5. Step 5: Solve for x
    x = 4,726.82/57.54
  6. Step 6: Final answer
    x = 82.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.