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Finding the Fourth Proportional to 2,859.30, 3,944.25 and 1,809.54

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Solution

The fourth proportional to 2,859.30, 3,944.25 and 1,809.54 is: 2,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.30 : 3,944.25 = 1,809.54 : x
  2. Step 2: Convert to fraction form
    2,859.30/3,944.25 = 1,809.54/x
  3. Step 3: Cross multiply
    2,859.30x = 3,944.25 × 1,809.54
  4. Step 4: Simplify right side
    2,859.30x = 7,137,278.15
  5. Step 5: Solve for x
    x = 7,137,278.15/2,859.30
  6. Step 6: Final answer
    x = 2,496.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.