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Finding the Fourth Proportional to 11.32, 15.63 and 7.86

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Solution

The fourth proportional to 11.32, 15.63 and 7.86 is: 10.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.32 : 15.63 = 7.86 : x
  2. Step 2: Convert to fraction form
    11.32/15.63 = 7.86/x
  3. Step 3: Cross multiply
    11.32x = 15.63 × 7.86
  4. Step 4: Simplify right side
    11.32x = 122.85
  5. Step 5: Solve for x
    x = 122.85/11.32
  6. Step 6: Final answer
    x = 10.85

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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.