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Finding the Fourth Proportional to 14.20, 21.18 and 13.06

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Solution

The fourth proportional to 14.20, 21.18 and 13.06 is: 19.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.20 : 21.18 = 13.06 : x
  2. Step 2: Convert to fraction form
    14.20/21.18 = 13.06/x
  3. Step 3: Cross multiply
    14.20x = 21.18 × 13.06
  4. Step 4: Simplify right side
    14.20x = 276.61
  5. Step 5: Solve for x
    x = 276.61/14.20
  6. Step 6: Final answer
    x = 19.48

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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.