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Finding the Fourth Proportional to 10.75, 15.96 and 10.57

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Solution

The fourth proportional to 10.75, 15.96 and 10.57 is: 15.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 15.96 = 10.57 : x
  2. Step 2: Convert to fraction form
    10.75/15.96 = 10.57/x
  3. Step 3: Cross multiply
    10.75x = 15.96 × 10.57
  4. Step 4: Simplify right side
    10.75x = 168.70
  5. Step 5: Solve for x
    x = 168.70/10.75
  6. Step 6: Final answer
    x = 15.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.