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Finding the Fourth Proportional to 13,963.60, 20,946.41 and 5,198.50

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Solution

The fourth proportional to 13,963.60, 20,946.41 and 5,198.50 is: 7,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.60 : 20,946.41 = 5,198.50 : x
  2. Step 2: Convert to fraction form
    13,963.60/20,946.41 = 5,198.50/x
  3. Step 3: Cross multiply
    13,963.60x = 20,946.41 × 5,198.50
  4. Step 4: Simplify right side
    13,963.60x = 108,889,912.39
  5. Step 5: Solve for x
    x = 108,889,912.39/13,963.60
  6. Step 6: Final answer
    x = 7,798.13

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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.