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Finding the Fourth Proportional to 13,908.90, 20,853 and 5,142.18

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Solution

The fourth proportional to 13,908.90, 20,853 and 5,142.18 is: 7,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.90 : 20,853 = 5,142.18 : x
  2. Step 2: Convert to fraction form
    13,908.90/20,853 = 5,142.18/x
  3. Step 3: Cross multiply
    13,908.90x = 20,853 × 5,142.18
  4. Step 4: Simplify right side
    13,908.90x = 107,229,879.54
  5. Step 5: Solve for x
    x = 107,229,879.54/13,908.90
  6. Step 6: Final answer
    x = 7,709.44

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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.