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Finding the Fourth Proportional to 9.94, 15 and 9.76

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Solution

The fourth proportional to 9.94, 15 and 9.76 is: 14.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.94 : 15 = 9.76 : x
  2. Step 2: Convert to fraction form
    9.94/15 = 9.76/x
  3. Step 3: Cross multiply
    9.94x = 15 × 9.76
  4. Step 4: Simplify right side
    9.94x = 146.40
  5. Step 5: Solve for x
    x = 146.40/9.94
  6. Step 6: Final answer
    x = 14.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.