Home / 2,109.20-3,163.80-810.14

Finding the Fourth Proportional to 2,109.20, 3,163.80 and 810.14

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Solution

The fourth proportional to 2,109.20, 3,163.80 and 810.14 is: 1,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.20 : 3,163.80 = 810.14 : x
  2. Step 2: Convert to fraction form
    2,109.20/3,163.80 = 810.14/x
  3. Step 3: Cross multiply
    2,109.20x = 3,163.80 × 810.14
  4. Step 4: Simplify right side
    2,109.20x = 2,563,120.93
  5. Step 5: Solve for x
    x = 2,563,120.93/2,109.20
  6. Step 6: Final answer
    x = 1,215.21

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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.