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Finding the Fourth Proportional to 2,809.69, 4,212.51 and 1,755.88

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Solution

The fourth proportional to 2,809.69, 4,212.51 and 1,755.88 is: 2,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.69 : 4,212.51 = 1,755.88 : x
  2. Step 2: Convert to fraction form
    2,809.69/4,212.51 = 1,755.88/x
  3. Step 3: Cross multiply
    2,809.69x = 4,212.51 × 1,755.88
  4. Step 4: Simplify right side
    2,809.69x = 7,396,662.06
  5. Step 5: Solve for x
    x = 7,396,662.06/2,809.69
  6. Step 6: Final answer
    x = 2,632.55

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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.