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Finding the Fourth Proportional to 11.34, 15.65 and 9.72

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Solution

The fourth proportional to 11.34, 15.65 and 9.72 is: 13.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.34 : 15.65 = 9.72 : x
  2. Step 2: Convert to fraction form
    11.34/15.65 = 9.72/x
  3. Step 3: Cross multiply
    11.34x = 15.65 × 9.72
  4. Step 4: Simplify right side
    11.34x = 152.12
  5. Step 5: Solve for x
    x = 152.12/11.34
  6. Step 6: Final answer
    x = 13.41

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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.