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Finding the Fourth Proportional to 12.77, 17.62 and 7.85

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Solution

The fourth proportional to 12.77, 17.62 and 7.85 is: 10.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.77 : 17.62 = 7.85 : x
  2. Step 2: Convert to fraction form
    12.77/17.62 = 7.85/x
  3. Step 3: Cross multiply
    12.77x = 17.62 × 7.85
  4. Step 4: Simplify right side
    12.77x = 138.28
  5. Step 5: Solve for x
    x = 138.28/12.77
  6. Step 6: Final answer
    x = 10.83

Related Problems

Find fourth proportional to 6.38, 8.81 and 3.92
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1.5x scale

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.