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Finding the Fourth Proportional to 13,801.92, 19,046.72 and 8,213.12

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Solution

The fourth proportional to 13,801.92, 19,046.72 and 8,213.12 is: 11,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.92 : 19,046.72 = 8,213.12 : x
  2. Step 2: Convert to fraction form
    13,801.92/19,046.72 = 8,213.12/x
  3. Step 3: Cross multiply
    13,801.92x = 19,046.72 × 8,213.12
  4. Step 4: Simplify right side
    13,801.92x = 156,432,996.97
  5. Step 5: Solve for x
    x = 156,432,996.97/13,801.92
  6. Step 6: Final answer
    x = 11,334.15

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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.