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Finding the Fourth Proportional to 12,224, 16,869.12 and 8,039.72

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Solution

The fourth proportional to 12,224, 16,869.12 and 8,039.72 is: 11,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 16,869.12 = 8,039.72 : x
  2. Step 2: Convert to fraction form
    12,224/16,869.12 = 8,039.72/x
  3. Step 3: Cross multiply
    12,224x = 16,869.12 × 8,039.72
  4. Step 4: Simplify right side
    12,224x = 135,623,001.45
  5. Step 5: Solve for x
    x = 135,623,001.45/12,224
  6. Step 6: Final answer
    x = 11,094.81

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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.