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Finding the Fourth Proportional to 20,288.50, 27,998.14 and 11,456.50

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Solution

The fourth proportional to 20,288.50, 27,998.14 and 11,456.50 is: 15,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288.50 : 27,998.14 = 11,456.50 : x
  2. Step 2: Convert to fraction form
    20,288.50/27,998.14 = 11,456.50/x
  3. Step 3: Cross multiply
    20,288.50x = 27,998.14 × 11,456.50
  4. Step 4: Simplify right side
    20,288.50x = 320,760,690.91
  5. Step 5: Solve for x
    x = 320,760,690.91/20,288.50
  6. Step 6: Final answer
    x = 15,809.98

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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.