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Finding the Fourth Proportional to 10.24, 14.07 and 9.64

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Solution

The fourth proportional to 10.24, 14.07 and 9.64 is: 13.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.24 : 14.07 = 9.64 : x
  2. Step 2: Convert to fraction form
    10.24/14.07 = 9.64/x
  3. Step 3: Cross multiply
    10.24x = 14.07 × 9.64
  4. Step 4: Simplify right side
    10.24x = 135.59
  5. Step 5: Solve for x
    x = 135.59/10.24
  6. Step 6: Final answer
    x = 13.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.