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Finding the Fourth Proportional to 7.80, 11.62 and 7.14

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Solution

The fourth proportional to 7.80, 11.62 and 7.14 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.80 : 11.62 = 7.14 : x
  2. Step 2: Convert to fraction form
    7.80/11.62 = 7.14/x
  3. Step 3: Cross multiply
    7.80x = 11.62 × 7.14
  4. Step 4: Simplify right side
    7.80x = 82.97
  5. Step 5: Solve for x
    x = 82.97/7.80
  6. Step 6: Final answer
    x = 10.64

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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.