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Finding the Fourth Proportional to 57.91, 86.87 and 19.37

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Solution

The fourth proportional to 57.91, 86.87 and 19.37 is: 29.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.91 : 86.87 = 19.37 : x
  2. Step 2: Convert to fraction form
    57.91/86.87 = 19.37/x
  3. Step 3: Cross multiply
    57.91x = 86.87 × 19.37
  4. Step 4: Simplify right side
    57.91x = 1,682.58
  5. Step 5: Solve for x
    x = 1,682.58/57.91
  6. Step 6: Final answer
    x = 29.06

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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.