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Finding the Fourth Proportional to 1,893.42, 2,612.52 and 1,107.31

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Solution

The fourth proportional to 1,893.42, 2,612.52 and 1,107.31 is: 1,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.42 : 2,612.52 = 1,107.31 : x
  2. Step 2: Convert to fraction form
    1,893.42/2,612.52 = 1,107.31/x
  3. Step 3: Cross multiply
    1,893.42x = 2,612.52 × 1,107.31
  4. Step 4: Simplify right side
    1,893.42x = 2,892,869.52
  5. Step 5: Solve for x
    x = 2,892,869.52/1,893.42
  6. Step 6: Final answer
    x = 1,527.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.