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Finding the Fourth Proportional to 9.97, 13.77 and 8.76

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Solution

The fourth proportional to 9.97, 13.77 and 8.76 is: 12.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.97 : 13.77 = 8.76 : x
  2. Step 2: Convert to fraction form
    9.97/13.77 = 8.76/x
  3. Step 3: Cross multiply
    9.97x = 13.77 × 8.76
  4. Step 4: Simplify right side
    9.97x = 120.63
  5. Step 5: Solve for x
    x = 120.63/9.97
  6. Step 6: Final answer
    x = 12.10

Related Problems

Find fourth proportional to 4.99, 6.89 and 4.38
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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.