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Finding the Fourth Proportional to 13,920.87, 20,843.64 and 10,194.87

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Solution

The fourth proportional to 13,920.87, 20,843.64 and 10,194.87 is: 15,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.87 : 20,843.64 = 10,194.87 : x
  2. Step 2: Convert to fraction form
    13,920.87/20,843.64 = 10,194.87/x
  3. Step 3: Cross multiply
    13,920.87x = 20,843.64 × 10,194.87
  4. Step 4: Simplify right side
    13,920.87x = 212,498,200.13
  5. Step 5: Solve for x
    x = 212,498,200.13/13,920.87
  6. Step 6: Final answer
    x = 15,264.72

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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.