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Finding the Fourth Proportional to 1,893.74, 2,612.10 and 1,107.26

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Solution

The fourth proportional to 1,893.74, 2,612.10 and 1,107.26 is: 1,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.74 : 2,612.10 = 1,107.26 : x
  2. Step 2: Convert to fraction form
    1,893.74/2,612.10 = 1,107.26/x
  3. Step 3: Cross multiply
    1,893.74x = 2,612.10 × 1,107.26
  4. Step 4: Simplify right side
    1,893.74x = 2,892,273.85
  5. Step 5: Solve for x
    x = 2,892,273.85/1,893.74
  6. Step 6: Final answer
    x = 1,527.28

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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.