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Finding the Fourth Proportional to 7.80, 11.64 and 7.04

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Solution

The fourth proportional to 7.80, 11.64 and 7.04 is: 10.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.80 : 11.64 = 7.04 : x
  2. Step 2: Convert to fraction form
    7.80/11.64 = 7.04/x
  3. Step 3: Cross multiply
    7.80x = 11.64 × 7.04
  4. Step 4: Simplify right side
    7.80x = 81.95
  5. Step 5: Solve for x
    x = 81.95/7.80
  6. Step 6: Final answer
    x = 10.51

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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.