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Finding the Fourth Proportional to 34.08, 51.09 and 21.24

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Solution

The fourth proportional to 34.08, 51.09 and 21.24 is: 31.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.08 : 51.09 = 21.24 : x
  2. Step 2: Convert to fraction form
    34.08/51.09 = 21.24/x
  3. Step 3: Cross multiply
    34.08x = 51.09 × 21.24
  4. Step 4: Simplify right side
    34.08x = 1,085.15
  5. Step 5: Solve for x
    x = 1,085.15/34.08
  6. Step 6: Final answer
    x = 31.84

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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.