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Finding the Fourth Proportional to 2,755.31, 4,129.31 and 1,585.94

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Solution

The fourth proportional to 2,755.31, 4,129.31 and 1,585.94 is: 2,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.31 : 4,129.31 = 1,585.94 : x
  2. Step 2: Convert to fraction form
    2,755.31/4,129.31 = 1,585.94/x
  3. Step 3: Cross multiply
    2,755.31x = 4,129.31 × 1,585.94
  4. Step 4: Simplify right side
    2,755.31x = 6,548,809.33
  5. Step 5: Solve for x
    x = 6,548,809.33/2,755.31
  6. Step 6: Final answer
    x = 2,376.80

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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.