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Finding the Fourth Proportional to 14.55, 21.72 and 13.86

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Solution

The fourth proportional to 14.55, 21.72 and 13.86 is: 20.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.55 : 21.72 = 13.86 : x
  2. Step 2: Convert to fraction form
    14.55/21.72 = 13.86/x
  3. Step 3: Cross multiply
    14.55x = 21.72 × 13.86
  4. Step 4: Simplify right side
    14.55x = 301.04
  5. Step 5: Solve for x
    x = 301.04/14.55
  6. Step 6: Final answer
    x = 20.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.