Home / 2,738.35-4,107.76-1,178.40

Finding the Fourth Proportional to 2,738.35, 4,107.76 and 1,178.40

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Solution

The fourth proportional to 2,738.35, 4,107.76 and 1,178.40 is: 1,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.35 : 4,107.76 = 1,178.40 : x
  2. Step 2: Convert to fraction form
    2,738.35/4,107.76 = 1,178.40/x
  3. Step 3: Cross multiply
    2,738.35x = 4,107.76 × 1,178.40
  4. Step 4: Simplify right side
    2,738.35x = 4,840,584.38
  5. Step 5: Solve for x
    x = 4,840,584.38/2,738.35
  6. Step 6: Final answer
    x = 1,767.70

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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.