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Finding the Fourth Proportional to 2,871.20, 4,310.04 and 1,899.20

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Solution

The fourth proportional to 2,871.20, 4,310.04 and 1,899.20 is: 2,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.20 : 4,310.04 = 1,899.20 : x
  2. Step 2: Convert to fraction form
    2,871.20/4,310.04 = 1,899.20/x
  3. Step 3: Cross multiply
    2,871.20x = 4,310.04 × 1,899.20
  4. Step 4: Simplify right side
    2,871.20x = 8,185,627.97
  5. Step 5: Solve for x
    x = 8,185,627.97/2,871.20
  6. Step 6: Final answer
    x = 2,850.94

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Why These Related Problems?

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