Home / 3,872.09-5,809.35-1,406.25

Finding the Fourth Proportional to 3,872.09, 5,809.35 and 1,406.25

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Solution

The fourth proportional to 3,872.09, 5,809.35 and 1,406.25 is: 2,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.09 : 5,809.35 = 1,406.25 : x
  2. Step 2: Convert to fraction form
    3,872.09/5,809.35 = 1,406.25/x
  3. Step 3: Cross multiply
    3,872.09x = 5,809.35 × 1,406.25
  4. Step 4: Simplify right side
    3,872.09x = 8,169,398.44
  5. Step 5: Solve for x
    x = 8,169,398.44/3,872.09
  6. Step 6: Final answer
    x = 2,109.82

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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.