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Finding the Fourth Proportional to 3,873.88, 5,809 and 1,406.96

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Solution

The fourth proportional to 3,873.88, 5,809 and 1,406.96 is: 2,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.88 : 5,809 = 1,406.96 : x
  2. Step 2: Convert to fraction form
    3,873.88/5,809 = 1,406.96/x
  3. Step 3: Cross multiply
    3,873.88x = 5,809 × 1,406.96
  4. Step 4: Simplify right side
    3,873.88x = 8,173,030.64
  5. Step 5: Solve for x
    x = 8,173,030.64/3,873.88
  6. Step 6: Final answer
    x = 2,109.78

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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.