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Finding the Fourth Proportional to 57.71, 86.61 and 21.64

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Solution

The fourth proportional to 57.71, 86.61 and 21.64 is: 32.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.71 : 86.61 = 21.64 : x
  2. Step 2: Convert to fraction form
    57.71/86.61 = 21.64/x
  3. Step 3: Cross multiply
    57.71x = 86.61 × 21.64
  4. Step 4: Simplify right side
    57.71x = 1,874.24
  5. Step 5: Solve for x
    x = 1,874.24/57.71
  6. Step 6: Final answer
    x = 32.47

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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.