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Finding the Fourth Proportional to 13,981.86, 21,001.95 and 8,149.86

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Solution

The fourth proportional to 13,981.86, 21,001.95 and 8,149.86 is: 12,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.86 : 21,001.95 = 8,149.86 : x
  2. Step 2: Convert to fraction form
    13,981.86/21,001.95 = 8,149.86/x
  3. Step 3: Cross multiply
    13,981.86x = 21,001.95 × 8,149.86
  4. Step 4: Simplify right side
    13,981.86x = 171,162,952.23
  5. Step 5: Solve for x
    x = 171,162,952.23/13,981.86
  6. Step 6: Final answer
    x = 12,241.79

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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.