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Finding the Fourth Proportional to 7.89, 11.78 and 7.45

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Solution

The fourth proportional to 7.89, 11.78 and 7.45 is: 11.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.89 : 11.78 = 7.45 : x
  2. Step 2: Convert to fraction form
    7.89/11.78 = 7.45/x
  3. Step 3: Cross multiply
    7.89x = 11.78 × 7.45
  4. Step 4: Simplify right side
    7.89x = 87.76
  5. Step 5: Solve for x
    x = 87.76/7.89
  6. Step 6: Final answer
    x = 11.12

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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.