Home / 3,872.09-5,807.73-1,406.81

Finding the Fourth Proportional to 3,872.09, 5,807.73 and 1,406.81

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Solution

The fourth proportional to 3,872.09, 5,807.73 and 1,406.81 is: 2,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.09 : 5,807.73 = 1,406.81 : x
  2. Step 2: Convert to fraction form
    3,872.09/5,807.73 = 1,406.81/x
  3. Step 3: Cross multiply
    3,872.09x = 5,807.73 × 1,406.81
  4. Step 4: Simplify right side
    3,872.09x = 8,170,372.64
  5. Step 5: Solve for x
    x = 8,170,372.64/3,872.09
  6. Step 6: Final answer
    x = 2,110.07

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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.