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Finding the Fourth Proportional to 13,755, 18,980.24 and 8,091.48

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Solution

The fourth proportional to 13,755, 18,980.24 and 8,091.48 is: 11,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755 : 18,980.24 = 8,091.48 : x
  2. Step 2: Convert to fraction form
    13,755/18,980.24 = 8,091.48/x
  3. Step 3: Cross multiply
    13,755x = 18,980.24 × 8,091.48
  4. Step 4: Simplify right side
    13,755x = 153,578,232.36
  5. Step 5: Solve for x
    x = 153,578,232.36/13,755
  6. Step 6: Final answer
    x = 11,165.27

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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.