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Finding the Fourth Proportional to 7.90, 10.94 and 7.76

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Solution

The fourth proportional to 7.90, 10.94 and 7.76 is: 10.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.90 : 10.94 = 7.76 : x
  2. Step 2: Convert to fraction form
    7.90/10.94 = 7.76/x
  3. Step 3: Cross multiply
    7.90x = 10.94 × 7.76
  4. Step 4: Simplify right side
    7.90x = 84.89
  5. Step 5: Solve for x
    x = 84.89/7.90
  6. Step 6: Final answer
    x = 10.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.