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Finding the Fourth Proportional to 14.32, 21.42 and 9.79

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Solution

The fourth proportional to 14.32, 21.42 and 9.79 is: 14.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.32 : 21.42 = 9.79 : x
  2. Step 2: Convert to fraction form
    14.32/21.42 = 9.79/x
  3. Step 3: Cross multiply
    14.32x = 21.42 × 9.79
  4. Step 4: Simplify right side
    14.32x = 209.70
  5. Step 5: Solve for x
    x = 209.70/14.32
  6. Step 6: Final answer
    x = 14.64

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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.