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Finding the Fourth Proportional to 20,149.30, 27,798.07 and 11,649.87

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Solution

The fourth proportional to 20,149.30, 27,798.07 and 11,649.87 is: 16,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.30 : 27,798.07 = 11,649.87 : x
  2. Step 2: Convert to fraction form
    20,149.30/27,798.07 = 11,649.87/x
  3. Step 3: Cross multiply
    20,149.30x = 27,798.07 × 11,649.87
  4. Step 4: Simplify right side
    20,149.30x = 323,843,901.75
  5. Step 5: Solve for x
    x = 323,843,901.75/20,149.30
  6. Step 6: Final answer
    x = 16,072.22

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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.