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Finding the Fourth Proportional to 5,189.61, 7,788.16 and 2,067.81

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Solution

The fourth proportional to 5,189.61, 7,788.16 and 2,067.81 is: 3,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.61 : 7,788.16 = 2,067.81 : x
  2. Step 2: Convert to fraction form
    5,189.61/7,788.16 = 2,067.81/x
  3. Step 3: Cross multiply
    5,189.61x = 7,788.16 × 2,067.81
  4. Step 4: Simplify right side
    5,189.61x = 16,104,408.51
  5. Step 5: Solve for x
    x = 16,104,408.51/5,189.61
  6. Step 6: Final answer
    x = 3,103.20

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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.