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Finding the Fourth Proportional to 34.57, 51.85 and 13.19

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Solution

The fourth proportional to 34.57, 51.85 and 13.19 is: 19.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.57 : 51.85 = 13.19 : x
  2. Step 2: Convert to fraction form
    34.57/51.85 = 13.19/x
  3. Step 3: Cross multiply
    34.57x = 51.85 × 13.19
  4. Step 4: Simplify right side
    34.57x = 683.71
  5. Step 5: Solve for x
    x = 683.71/34.57
  6. Step 6: Final answer
    x = 19.78

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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.