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Finding the Fourth Proportional to 11,944.86, 17,897.34 and 8,429.06

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Solution

The fourth proportional to 11,944.86, 17,897.34 and 8,429.06 is: 12,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.86 : 17,897.34 = 8,429.06 : x
  2. Step 2: Convert to fraction form
    11,944.86/17,897.34 = 8,429.06/x
  3. Step 3: Cross multiply
    11,944.86x = 17,897.34 × 8,429.06
  4. Step 4: Simplify right side
    11,944.86x = 150,857,752.70
  5. Step 5: Solve for x
    x = 150,857,752.70/11,944.86
  6. Step 6: Final answer
    x = 12,629.51

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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.