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Finding the Fourth Proportional to 10, 13.88 and 9.76

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Solution

The fourth proportional to 10, 13.88 and 9.76 is: 13.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10 : 13.88 = 9.76 : x
  2. Step 2: Convert to fraction form
    10/13.88 = 9.76/x
  3. Step 3: Cross multiply
    10x = 13.88 × 9.76
  4. Step 4: Simplify right side
    10x = 135.47
  5. Step 5: Solve for x
    x = 135.47/10
  6. Step 6: Final answer
    x = 13.55

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