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Finding the Fourth Proportional to 2,873.71, 4,310.88 and 2,288.71

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Solution

The fourth proportional to 2,873.71, 4,310.88 and 2,288.71 is: 3,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.71 : 4,310.88 = 2,288.71 : x
  2. Step 2: Convert to fraction form
    2,873.71/4,310.88 = 2,288.71/x
  3. Step 3: Cross multiply
    2,873.71x = 4,310.88 × 2,288.71
  4. Step 4: Simplify right side
    2,873.71x = 9,866,354.16
  5. Step 5: Solve for x
    x = 9,866,354.16/2,873.71
  6. Step 6: Final answer
    x = 3,433.32

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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.