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Finding the Fourth Proportional to 14.23, 19.53 and 12.91

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Solution

The fourth proportional to 14.23, 19.53 and 12.91 is: 17.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.23 : 19.53 = 12.91 : x
  2. Step 2: Convert to fraction form
    14.23/19.53 = 12.91/x
  3. Step 3: Cross multiply
    14.23x = 19.53 × 12.91
  4. Step 4: Simplify right side
    14.23x = 252.13
  5. Step 5: Solve for x
    x = 252.13/14.23
  6. Step 6: Final answer
    x = 17.72

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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.