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Finding the Fourth Proportional to 11,004.20, 15,178 and 6,755.48

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Solution

The fourth proportional to 11,004.20, 15,178 and 6,755.48 is: 9,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004.20 : 15,178 = 6,755.48 : x
  2. Step 2: Convert to fraction form
    11,004.20/15,178 = 6,755.48/x
  3. Step 3: Cross multiply
    11,004.20x = 15,178 × 6,755.48
  4. Step 4: Simplify right side
    11,004.20x = 102,534,675.44
  5. Step 5: Solve for x
    x = 102,534,675.44/11,004.20
  6. Step 6: Final answer
    x = 9,317.78

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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.