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Finding the Fourth Proportional to 20,083.80, 27,715.16 and 11,699.76

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Solution

The fourth proportional to 20,083.80, 27,715.16 and 11,699.76 is: 16,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.80 : 27,715.16 = 11,699.76 : x
  2. Step 2: Convert to fraction form
    20,083.80/27,715.16 = 11,699.76/x
  3. Step 3: Cross multiply
    20,083.80x = 27,715.16 × 11,699.76
  4. Step 4: Simplify right side
    20,083.80x = 324,260,720.36
  5. Step 5: Solve for x
    x = 324,260,720.36/20,083.80
  6. Step 6: Final answer
    x = 16,145.39

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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.