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Finding the Fourth Proportional to 11.64, 15.90 and 11.58

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Solution

The fourth proportional to 11.64, 15.90 and 11.58 is: 15.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 15.90 = 11.58 : x
  2. Step 2: Convert to fraction form
    11.64/15.90 = 11.58/x
  3. Step 3: Cross multiply
    11.64x = 15.90 × 11.58
  4. Step 4: Simplify right side
    11.64x = 184.12
  5. Step 5: Solve for x
    x = 184.12/11.64
  6. Step 6: Final answer
    x = 15.82

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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.