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Finding the Fourth Proportional to 2,827.91, 4,241.52 and 748.10

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Solution

The fourth proportional to 2,827.91, 4,241.52 and 748.10 is: 1,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.91 : 4,241.52 = 748.10 : x
  2. Step 2: Convert to fraction form
    2,827.91/4,241.52 = 748.10/x
  3. Step 3: Cross multiply
    2,827.91x = 4,241.52 × 748.10
  4. Step 4: Simplify right side
    2,827.91x = 3,173,091.72
  5. Step 5: Solve for x
    x = 3,173,091.72/2,827.91
  6. Step 6: Final answer
    x = 1,122.06

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