Home / 2,105.40-3,157.64-1,226.04

Finding the Fourth Proportional to 2,105.40, 3,157.64 and 1,226.04

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Solution

The fourth proportional to 2,105.40, 3,157.64 and 1,226.04 is: 1,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.40 : 3,157.64 = 1,226.04 : x
  2. Step 2: Convert to fraction form
    2,105.40/3,157.64 = 1,226.04/x
  3. Step 3: Cross multiply
    2,105.40x = 3,157.64 × 1,226.04
  4. Step 4: Simplify right side
    2,105.40x = 3,871,392.95
  5. Step 5: Solve for x
    x = 3,871,392.95/2,105.40
  6. Step 6: Final answer
    x = 1,838.79

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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.