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Finding the Fourth Proportional to 20,011, 27,616.80 and 11,629.12

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Solution

The fourth proportional to 20,011, 27,616.80 and 11,629.12 is: 16,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,011 : 27,616.80 = 11,629.12 : x
  2. Step 2: Convert to fraction form
    20,011/27,616.80 = 11,629.12/x
  3. Step 3: Cross multiply
    20,011x = 27,616.80 × 11,629.12
  4. Step 4: Simplify right side
    20,011x = 321,159,081.22
  5. Step 5: Solve for x
    x = 321,159,081.22/20,011
  6. Step 6: Final answer
    x = 16,049.13

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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.