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Finding the Fourth Proportional to 12,210.60, 16,844.54 and 8,224.80

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Solution

The fourth proportional to 12,210.60, 16,844.54 and 8,224.80 is: 11,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.60 : 16,844.54 = 8,224.80 : x
  2. Step 2: Convert to fraction form
    12,210.60/16,844.54 = 8,224.80/x
  3. Step 3: Cross multiply
    12,210.60x = 16,844.54 × 8,224.80
  4. Step 4: Simplify right side
    12,210.60x = 138,542,972.59
  5. Step 5: Solve for x
    x = 138,542,972.59/12,210.60
  6. Step 6: Final answer
    x = 11,346.12

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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.