Home / 1,874.29-2,811.95-820.20

Finding the Fourth Proportional to 1,874.29, 2,811.95 and 820.20

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Solution

The fourth proportional to 1,874.29, 2,811.95 and 820.20 is: 1,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.29 : 2,811.95 = 820.20 : x
  2. Step 2: Convert to fraction form
    1,874.29/2,811.95 = 820.20/x
  3. Step 3: Cross multiply
    1,874.29x = 2,811.95 × 820.20
  4. Step 4: Simplify right side
    1,874.29x = 2,306,361.39
  5. Step 5: Solve for x
    x = 2,306,361.39/1,874.29
  6. Step 6: Final answer
    x = 1,230.53

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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.