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Finding the Fourth Proportional to 12.66, 18.89 and 10.50

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Solution

The fourth proportional to 12.66, 18.89 and 10.50 is: 15.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.66 : 18.89 = 10.50 : x
  2. Step 2: Convert to fraction form
    12.66/18.89 = 10.50/x
  3. Step 3: Cross multiply
    12.66x = 18.89 × 10.50
  4. Step 4: Simplify right side
    12.66x = 198.29
  5. Step 5: Solve for x
    x = 198.29/12.66
  6. Step 6: Final answer
    x = 15.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.