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Finding the Fourth Proportional to 10.50, 15.66 and 8.19

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Solution

The fourth proportional to 10.50, 15.66 and 8.19 is: 12.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.50 : 15.66 = 8.19 : x
  2. Step 2: Convert to fraction form
    10.50/15.66 = 8.19/x
  3. Step 3: Cross multiply
    10.50x = 15.66 × 8.19
  4. Step 4: Simplify right side
    10.50x = 128.26
  5. Step 5: Solve for x
    x = 128.26/10.50
  6. Step 6: Final answer
    x = 12.21

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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.