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Finding the Fourth Proportional to 14.31, 19.75 and 7.85

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Solution

The fourth proportional to 14.31, 19.75 and 7.85 is: 10.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.31 : 19.75 = 7.85 : x
  2. Step 2: Convert to fraction form
    14.31/19.75 = 7.85/x
  3. Step 3: Cross multiply
    14.31x = 19.75 × 7.85
  4. Step 4: Simplify right side
    14.31x = 154.96
  5. Step 5: Solve for x
    x = 154.96/14.31
  6. Step 6: Final answer
    x = 10.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.