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Finding the Fourth Proportional to 57.82, 86.58 and 32.08

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Solution

The fourth proportional to 57.82, 86.58 and 32.08 is: 48.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.82 : 86.58 = 32.08 : x
  2. Step 2: Convert to fraction form
    57.82/86.58 = 32.08/x
  3. Step 3: Cross multiply
    57.82x = 86.58 × 32.08
  4. Step 4: Simplify right side
    57.82x = 2,777.49
  5. Step 5: Solve for x
    x = 2,777.49/57.82
  6. Step 6: Final answer
    x = 48.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.