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Finding the Fourth Proportional to 12.19, 16.83 and 9.78

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Solution

The fourth proportional to 12.19, 16.83 and 9.78 is: 13.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.19 : 16.83 = 9.78 : x
  2. Step 2: Convert to fraction form
    12.19/16.83 = 9.78/x
  3. Step 3: Cross multiply
    12.19x = 16.83 × 9.78
  4. Step 4: Simplify right side
    12.19x = 164.60
  5. Step 5: Solve for x
    x = 164.60/12.19
  6. Step 6: Final answer
    x = 13.50

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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.