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Finding the Fourth Proportional to 2,801.86, 3,862.54 and 2,004.96

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Solution

The fourth proportional to 2,801.86, 3,862.54 and 2,004.96 is: 2,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.86 : 3,862.54 = 2,004.96 : x
  2. Step 2: Convert to fraction form
    2,801.86/3,862.54 = 2,004.96/x
  3. Step 3: Cross multiply
    2,801.86x = 3,862.54 × 2,004.96
  4. Step 4: Simplify right side
    2,801.86x = 7,744,238.20
  5. Step 5: Solve for x
    x = 7,744,238.20/2,801.86
  6. Step 6: Final answer
    x = 2,763.96

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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.