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Finding the Fourth Proportional to 10,755.43, 14,843.28 and 6,278.22

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Solution

The fourth proportional to 10,755.43, 14,843.28 and 6,278.22 is: 8,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.43 : 14,843.28 = 6,278.22 : x
  2. Step 2: Convert to fraction form
    10,755.43/14,843.28 = 6,278.22/x
  3. Step 3: Cross multiply
    10,755.43x = 14,843.28 × 6,278.22
  4. Step 4: Simplify right side
    10,755.43x = 93,189,400.90
  5. Step 5: Solve for x
    x = 93,189,400.90/10,755.43
  6. Step 6: Final answer
    x = 8,664.41

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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.