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Finding the Fourth Proportional to 9.40, 14.05 and 7.89

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Solution

The fourth proportional to 9.40, 14.05 and 7.89 is: 11.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.40 : 14.05 = 7.89 : x
  2. Step 2: Convert to fraction form
    9.40/14.05 = 7.89/x
  3. Step 3: Cross multiply
    9.40x = 14.05 × 7.89
  4. Step 4: Simplify right side
    9.40x = 110.78
  5. Step 5: Solve for x
    x = 110.78/9.40
  6. Step 6: Final answer
    x = 11.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.