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Finding the Fourth Proportional to 20,202, 27,878.76 and 11,820.12

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Solution

The fourth proportional to 20,202, 27,878.76 and 11,820.12 is: 16,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202 : 27,878.76 = 11,820.12 : x
  2. Step 2: Convert to fraction form
    20,202/27,878.76 = 11,820.12/x
  3. Step 3: Cross multiply
    20,202x = 27,878.76 × 11,820.12
  4. Step 4: Simplify right side
    20,202x = 329,530,288.65
  5. Step 5: Solve for x
    x = 329,530,288.65/20,202
  6. Step 6: Final answer
    x = 16,311.77

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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.