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Finding the Fourth Proportional to 7.87, 11.79 and 5.34

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Solution

The fourth proportional to 7.87, 11.79 and 5.34 is: 7.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.87 : 11.79 = 5.34 : x
  2. Step 2: Convert to fraction form
    7.87/11.79 = 5.34/x
  3. Step 3: Cross multiply
    7.87x = 11.79 × 5.34
  4. Step 4: Simplify right side
    7.87x = 62.90
  5. Step 5: Solve for x
    x = 62.90/7.87
  6. Step 6: Final answer
    x = 7.99

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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.