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Finding the Fourth Proportional to 9.72, 14.40 and 9.60

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Solution

The fourth proportional to 9.72, 14.40 and 9.60 is: 14.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.72 : 14.40 = 9.60 : x
  2. Step 2: Convert to fraction form
    9.72/14.40 = 9.60/x
  3. Step 3: Cross multiply
    9.72x = 14.40 × 9.60
  4. Step 4: Simplify right side
    9.72x = 138.24
  5. Step 5: Solve for x
    x = 138.24/9.72
  6. Step 6: Final answer
    x = 14.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.