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Finding the Fourth Proportional to 9.77, 13.42 and 7.94

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Solution

The fourth proportional to 9.77, 13.42 and 7.94 is: 10.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.77 : 13.42 = 7.94 : x
  2. Step 2: Convert to fraction form
    9.77/13.42 = 7.94/x
  3. Step 3: Cross multiply
    9.77x = 13.42 × 7.94
  4. Step 4: Simplify right side
    9.77x = 106.57
  5. Step 5: Solve for x
    x = 106.57/9.77
  6. Step 6: Final answer
    x = 10.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.