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Finding the Fourth Proportional to 7.82, 10.70 and 7.59

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Solution

The fourth proportional to 7.82, 10.70 and 7.59 is: 10.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.82 : 10.70 = 7.59 : x
  2. Step 2: Convert to fraction form
    7.82/10.70 = 7.59/x
  3. Step 3: Cross multiply
    7.82x = 10.70 × 7.59
  4. Step 4: Simplify right side
    7.82x = 81.21
  5. Step 5: Solve for x
    x = 81.21/7.82
  6. Step 6: Final answer
    x = 10.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.