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Finding the Fourth Proportional to 9.31, 14.02 and 7.72

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Solution

The fourth proportional to 9.31, 14.02 and 7.72 is: 11.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.31 : 14.02 = 7.72 : x
  2. Step 2: Convert to fraction form
    9.31/14.02 = 7.72/x
  3. Step 3: Cross multiply
    9.31x = 14.02 × 7.72
  4. Step 4: Simplify right side
    9.31x = 108.23
  5. Step 5: Solve for x
    x = 108.23/9.31
  6. Step 6: Final answer
    x = 11.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.