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Finding the Fourth Proportional to 7, 10.50 and 6.82

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Solution

The fourth proportional to 7, 10.50 and 6.82 is: 10.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7 : 10.50 = 6.82 : x
  2. Step 2: Convert to fraction form
    7/10.50 = 6.82/x
  3. Step 3: Cross multiply
    7x = 10.50 × 6.82
  4. Step 4: Simplify right side
    7x = 71.61
  5. Step 5: Solve for x
    x = 71.61/7
  6. Step 6: Final answer
    x = 10.23

Related Problems

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Similar ratio
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1.5x scale

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.