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Finding the Fourth Proportional to 7.76, 10.70 and 6.37

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Solution

The fourth proportional to 7.76, 10.70 and 6.37 is: 8.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.76 : 10.70 = 6.37 : x
  2. Step 2: Convert to fraction form
    7.76/10.70 = 6.37/x
  3. Step 3: Cross multiply
    7.76x = 10.70 × 6.37
  4. Step 4: Simplify right side
    7.76x = 68.17
  5. Step 5: Solve for x
    x = 68.17/7.76
  6. Step 6: Final answer
    x = 8.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.