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Finding the Fourth Proportional to 13,797, 19,044.48 and 8,131.56

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Solution

The fourth proportional to 13,797, 19,044.48 and 8,131.56 is: 11,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797 : 19,044.48 = 8,131.56 : x
  2. Step 2: Convert to fraction form
    13,797/19,044.48 = 8,131.56/x
  3. Step 3: Cross multiply
    13,797x = 19,044.48 × 8,131.56
  4. Step 4: Simplify right side
    13,797x = 154,861,331.79
  5. Step 5: Solve for x
    x = 154,861,331.79/13,797
  6. Step 6: Final answer
    x = 11,224.28

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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.