Home / 1,540.22-2,310.53-809.83

Finding the Fourth Proportional to 1,540.22, 2,310.53 and 809.83

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Solution

The fourth proportional to 1,540.22, 2,310.53 and 809.83 is: 1,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.22 : 2,310.53 = 809.83 : x
  2. Step 2: Convert to fraction form
    1,540.22/2,310.53 = 809.83/x
  3. Step 3: Cross multiply
    1,540.22x = 2,310.53 × 809.83
  4. Step 4: Simplify right side
    1,540.22x = 1,871,135.35
  5. Step 5: Solve for x
    x = 1,871,135.35/1,540.22
  6. Step 6: Final answer
    x = 1,214.85

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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.