Home / 2,274.32-3,409.18-1,102.60

Finding the Fourth Proportional to 2,274.32, 3,409.18 and 1,102.60

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Solution

The fourth proportional to 2,274.32, 3,409.18 and 1,102.60 is: 1,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.32 : 3,409.18 = 1,102.60 : x
  2. Step 2: Convert to fraction form
    2,274.32/3,409.18 = 1,102.60/x
  3. Step 3: Cross multiply
    2,274.32x = 3,409.18 × 1,102.60
  4. Step 4: Simplify right side
    2,274.32x = 3,758,961.87
  5. Step 5: Solve for x
    x = 3,758,961.87/2,274.32
  6. Step 6: Final answer
    x = 1,652.78

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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.