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Finding the Fourth Proportional to 14.71, 20.12 and 14.47

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Solution

The fourth proportional to 14.71, 20.12 and 14.47 is: 19.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.71 : 20.12 = 14.47 : x
  2. Step 2: Convert to fraction form
    14.71/20.12 = 14.47/x
  3. Step 3: Cross multiply
    14.71x = 20.12 × 14.47
  4. Step 4: Simplify right side
    14.71x = 291.23
  5. Step 5: Solve for x
    x = 291.23/14.71
  6. Step 6: Final answer
    x = 19.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.