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Finding the Fourth Proportional to 5,378.09, 8,067.13 and 1,680.63

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Solution

The fourth proportional to 5,378.09, 8,067.13 and 1,680.63 is: 2,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.09 : 8,067.13 = 1,680.63 : x
  2. Step 2: Convert to fraction form
    5,378.09/8,067.13 = 1,680.63/x
  3. Step 3: Cross multiply
    5,378.09x = 8,067.13 × 1,680.63
  4. Step 4: Simplify right side
    5,378.09x = 13,557,856.49
  5. Step 5: Solve for x
    x = 13,557,856.49/5,378.09
  6. Step 6: Final answer
    x = 2,520.95

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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.