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Finding the Fourth Proportional to 2,871.75, 3,963.03 and 1,878.69

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Solution

The fourth proportional to 2,871.75, 3,963.03 and 1,878.69 is: 2,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.75 : 3,963.03 = 1,878.69 : x
  2. Step 2: Convert to fraction form
    2,871.75/3,963.03 = 1,878.69/x
  3. Step 3: Cross multiply
    2,871.75x = 3,963.03 × 1,878.69
  4. Step 4: Simplify right side
    2,871.75x = 7,445,304.83
  5. Step 5: Solve for x
    x = 7,445,304.83/2,871.75
  6. Step 6: Final answer
    x = 2,592.60

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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.