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Finding the Fourth Proportional to 2,809.87, 3,871.29 and 1,958.32

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Solution

The fourth proportional to 2,809.87, 3,871.29 and 1,958.32 is: 2,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.87 : 3,871.29 = 1,958.32 : x
  2. Step 2: Convert to fraction form
    2,809.87/3,871.29 = 1,958.32/x
  3. Step 3: Cross multiply
    2,809.87x = 3,871.29 × 1,958.32
  4. Step 4: Simplify right side
    2,809.87x = 7,581,224.63
  5. Step 5: Solve for x
    x = 7,581,224.63/2,809.87
  6. Step 6: Final answer
    x = 2,698.07

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1.5x scale

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.