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Finding the Fourth Proportional to 2,738.05, 4,107.08 and 1,280.05

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Solution

The fourth proportional to 2,738.05, 4,107.08 and 1,280.05 is: 1,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.05 : 4,107.08 = 1,280.05 : x
  2. Step 2: Convert to fraction form
    2,738.05/4,107.08 = 1,280.05/x
  3. Step 3: Cross multiply
    2,738.05x = 4,107.08 × 1,280.05
  4. Step 4: Simplify right side
    2,738.05x = 5,257,261.35
  5. Step 5: Solve for x
    x = 5,257,261.35/2,738.05
  6. Step 6: Final answer
    x = 1,920.08

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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.