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Finding the Fourth Proportional to 12,213.99, 16,869.15 and 8,228.19

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Solution

The fourth proportional to 12,213.99, 16,869.15 and 8,228.19 is: 11,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.99 : 16,869.15 = 8,228.19 : x
  2. Step 2: Convert to fraction form
    12,213.99/16,869.15 = 8,228.19/x
  3. Step 3: Cross multiply
    12,213.99x = 16,869.15 × 8,228.19
  4. Step 4: Simplify right side
    12,213.99x = 138,802,571.34
  5. Step 5: Solve for x
    x = 138,802,571.34/12,213.99
  6. Step 6: Final answer
    x = 11,364.23

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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.