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Finding the Fourth Proportional to 10.52, 15.77 and 7.66

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Solution

The fourth proportional to 10.52, 15.77 and 7.66 is: 11.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.52 : 15.77 = 7.66 : x
  2. Step 2: Convert to fraction form
    10.52/15.77 = 7.66/x
  3. Step 3: Cross multiply
    10.52x = 15.77 × 7.66
  4. Step 4: Simplify right side
    10.52x = 120.84
  5. Step 5: Solve for x
    x = 120.84/10.52
  6. Step 6: Final answer
    x = 11.49

Related Problems

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Double scale
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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.