Home / 2,167.13-3,249.68-780.07

Finding the Fourth Proportional to 2,167.13, 3,249.68 and 780.07

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Solution

The fourth proportional to 2,167.13, 3,249.68 and 780.07 is: 1,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.13 : 3,249.68 = 780.07 : x
  2. Step 2: Convert to fraction form
    2,167.13/3,249.68 = 780.07/x
  3. Step 3: Cross multiply
    2,167.13x = 3,249.68 × 780.07
  4. Step 4: Simplify right side
    2,167.13x = 2,534,977.88
  5. Step 5: Solve for x
    x = 2,534,977.88/2,167.13
  6. Step 6: Final answer
    x = 1,169.74

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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.