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Finding the Fourth Proportional to 10.12, 15.20 and 7.76

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Solution

The fourth proportional to 10.12, 15.20 and 7.76 is: 11.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.12 : 15.20 = 7.76 : x
  2. Step 2: Convert to fraction form
    10.12/15.20 = 7.76/x
  3. Step 3: Cross multiply
    10.12x = 15.20 × 7.76
  4. Step 4: Simplify right side
    10.12x = 117.95
  5. Step 5: Solve for x
    x = 117.95/10.12
  6. Step 6: Final answer
    x = 11.66

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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.