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Finding the Fourth Proportional to 13,578.87, 18,738.84 and 8,273.71

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Solution

The fourth proportional to 13,578.87, 18,738.84 and 8,273.71 is: 11,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.87 : 18,738.84 = 8,273.71 : x
  2. Step 2: Convert to fraction form
    13,578.87/18,738.84 = 8,273.71/x
  3. Step 3: Cross multiply
    13,578.87x = 18,738.84 × 8,273.71
  4. Step 4: Simplify right side
    13,578.87x = 155,039,727.90
  5. Step 5: Solve for x
    x = 155,039,727.90/13,578.87
  6. Step 6: Final answer
    x = 11,417.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.