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Finding the Fourth Proportional to 3,873.87, 5,810.81 and 1,563.75

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Solution

The fourth proportional to 3,873.87, 5,810.81 and 1,563.75 is: 2,345.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.87 : 5,810.81 = 1,563.75 : x
  2. Step 2: Convert to fraction form
    3,873.87/5,810.81 = 1,563.75/x
  3. Step 3: Cross multiply
    3,873.87x = 5,810.81 × 1,563.75
  4. Step 4: Simplify right side
    3,873.87x = 9,086,646.32
  5. Step 5: Solve for x
    x = 9,086,646.32/3,873.87
  6. Step 6: Final answer
    x = 2,345.63

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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.