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Finding the Fourth Proportional to 19.70, 29.57 and 13.71

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Solution

The fourth proportional to 19.70, 29.57 and 13.71 is: 20.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.70 : 29.57 = 13.71 : x
  2. Step 2: Convert to fraction form
    19.70/29.57 = 13.71/x
  3. Step 3: Cross multiply
    19.70x = 29.57 × 13.71
  4. Step 4: Simplify right side
    19.70x = 405.34
  5. Step 5: Solve for x
    x = 405.34/19.70
  6. Step 6: Final answer
    x = 20.58

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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.