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Finding the Fourth Proportional to 2,850.87, 4,275.05 and 1,809.92

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Solution

The fourth proportional to 2,850.87, 4,275.05 and 1,809.92 is: 2,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.87 : 4,275.05 = 1,809.92 : x
  2. Step 2: Convert to fraction form
    2,850.87/4,275.05 = 1,809.92/x
  3. Step 3: Cross multiply
    2,850.87x = 4,275.05 × 1,809.92
  4. Step 4: Simplify right side
    2,850.87x = 7,737,500.13
  5. Step 5: Solve for x
    x = 7,737,500.13/2,850.87
  6. Step 6: Final answer
    x = 2,714.08

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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.