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Finding the Fourth Proportional to 15,198.35, 20,963.48 and 13,205.48

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Solution

The fourth proportional to 15,198.35, 20,963.48 and 13,205.48 is: 18,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.35 : 20,963.48 = 13,205.48 : x
  2. Step 2: Convert to fraction form
    15,198.35/20,963.48 = 13,205.48/x
  3. Step 3: Cross multiply
    15,198.35x = 20,963.48 × 13,205.48
  4. Step 4: Simplify right side
    15,198.35x = 276,832,645.03
  5. Step 5: Solve for x
    x = 276,832,645.03/15,198.35
  6. Step 6: Final answer
    x = 18,214.66

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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.