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Finding the Fourth Proportional to 11.31, 15.65 and 9.60

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Solution

The fourth proportional to 11.31, 15.65 and 9.60 is: 13.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.31 : 15.65 = 9.60 : x
  2. Step 2: Convert to fraction form
    11.31/15.65 = 9.60/x
  3. Step 3: Cross multiply
    11.31x = 15.65 × 9.60
  4. Step 4: Simplify right side
    11.31x = 150.24
  5. Step 5: Solve for x
    x = 150.24/11.31
  6. Step 6: Final answer
    x = 13.28

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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.