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Finding the Fourth Proportional to 9.42, 12.93 and 7.88

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Solution

The fourth proportional to 9.42, 12.93 and 7.88 is: 10.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.42 : 12.93 = 7.88 : x
  2. Step 2: Convert to fraction form
    9.42/12.93 = 7.88/x
  3. Step 3: Cross multiply
    9.42x = 12.93 × 7.88
  4. Step 4: Simplify right side
    9.42x = 101.86
  5. Step 5: Solve for x
    x = 101.86/9.42
  6. Step 6: Final answer
    x = 10.82

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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.