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Finding the Fourth Proportional to 20,082.30, 27,699.80 and 11,698.80

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Solution

The fourth proportional to 20,082.30, 27,699.80 and 11,698.80 is: 16,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.30 : 27,699.80 = 11,698.80 : x
  2. Step 2: Convert to fraction form
    20,082.30/27,699.80 = 11,698.80/x
  3. Step 3: Cross multiply
    20,082.30x = 27,699.80 × 11,698.80
  4. Step 4: Simplify right side
    20,082.30x = 324,054,420.24
  5. Step 5: Solve for x
    x = 324,054,420.24/20,082.30
  6. Step 6: Final answer
    x = 16,136.32

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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.