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Finding the Fourth Proportional to 12,221.25, 16,866.16 and 6,844.19

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Solution

The fourth proportional to 12,221.25, 16,866.16 and 6,844.19 is: 9,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.25 : 16,866.16 = 6,844.19 : x
  2. Step 2: Convert to fraction form
    12,221.25/16,866.16 = 6,844.19/x
  3. Step 3: Cross multiply
    12,221.25x = 16,866.16 × 6,844.19
  4. Step 4: Simplify right side
    12,221.25x = 115,435,203.61
  5. Step 5: Solve for x
    x = 115,435,203.61/12,221.25
  6. Step 6: Final answer
    x = 9,445.45

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Double scale
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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.