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Finding the Fourth Proportional to 9.59, 13.16 and 8.90

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Solution

The fourth proportional to 9.59, 13.16 and 8.90 is: 12.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.59 : 13.16 = 8.90 : x
  2. Step 2: Convert to fraction form
    9.59/13.16 = 8.90/x
  3. Step 3: Cross multiply
    9.59x = 13.16 × 8.90
  4. Step 4: Simplify right side
    9.59x = 117.01
  5. Step 5: Solve for x
    x = 117.01/9.59
  6. Step 6: Final answer
    x = 12.21

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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.