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Finding the Fourth Proportional to 13,983.86, 21,004.96 and 8,151.86

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Solution

The fourth proportional to 13,983.86, 21,004.96 and 8,151.86 is: 12,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.86 : 21,004.96 = 8,151.86 : x
  2. Step 2: Convert to fraction form
    13,983.86/21,004.96 = 8,151.86/x
  3. Step 3: Cross multiply
    13,983.86x = 21,004.96 × 8,151.86
  4. Step 4: Simplify right side
    13,983.86x = 171,229,493.23
  5. Step 5: Solve for x
    x = 171,229,493.23/13,983.86
  6. Step 6: Final answer
    x = 12,244.79

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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.