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Finding the Fourth Proportional to 13.07, 18 and 9.60

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Solution

The fourth proportional to 13.07, 18 and 9.60 is: 13.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.07 : 18 = 9.60 : x
  2. Step 2: Convert to fraction form
    13.07/18 = 9.60/x
  3. Step 3: Cross multiply
    13.07x = 18 × 9.60
  4. Step 4: Simplify right side
    13.07x = 172.80
  5. Step 5: Solve for x
    x = 172.80/13.07
  6. Step 6: Final answer
    x = 13.23

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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.