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Finding the Fourth Proportional to 2,755.43, 4,128.74 and 2,475.68

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Solution

The fourth proportional to 2,755.43, 4,128.74 and 2,475.68 is: 3,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.43 : 4,128.74 = 2,475.68 : x
  2. Step 2: Convert to fraction form
    2,755.43/4,128.74 = 2,475.68/x
  3. Step 3: Cross multiply
    2,755.43x = 4,128.74 × 2,475.68
  4. Step 4: Simplify right side
    2,755.43x = 10,221,406.02
  5. Step 5: Solve for x
    x = 10,221,406.02/2,755.43
  6. Step 6: Final answer
    x = 3,709.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.