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Finding the Fourth Proportional to 12,221.28, 16,866.42 and 6,917.13

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Solution

The fourth proportional to 12,221.28, 16,866.42 and 6,917.13 is: 9,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.28 : 16,866.42 = 6,917.13 : x
  2. Step 2: Convert to fraction form
    12,221.28/16,866.42 = 6,917.13/x
  3. Step 3: Cross multiply
    12,221.28x = 16,866.42 × 6,917.13
  4. Step 4: Simplify right side
    12,221.28x = 116,667,219.77
  5. Step 5: Solve for x
    x = 116,667,219.77/12,221.28
  6. Step 6: Final answer
    x = 9,546.24

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1.5x scale

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.