Home / 1,874.24-2,811.36-820.16

Finding the Fourth Proportional to 1,874.24, 2,811.36 and 820.16

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Solution

The fourth proportional to 1,874.24, 2,811.36 and 820.16 is: 1,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.24 : 2,811.36 = 820.16 : x
  2. Step 2: Convert to fraction form
    1,874.24/2,811.36 = 820.16/x
  3. Step 3: Cross multiply
    1,874.24x = 2,811.36 × 820.16
  4. Step 4: Simplify right side
    1,874.24x = 2,305,765.02
  5. Step 5: Solve for x
    x = 2,305,765.02/1,874.24
  6. Step 6: Final answer
    x = 1,230.24

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1.5x scale

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.