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Finding the Fourth Proportional to 20,078.99, 27,722.01 and 12,912.13

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Solution

The fourth proportional to 20,078.99, 27,722.01 and 12,912.13 is: 17,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.99 : 27,722.01 = 12,912.13 : x
  2. Step 2: Convert to fraction form
    20,078.99/27,722.01 = 12,912.13/x
  3. Step 3: Cross multiply
    20,078.99x = 27,722.01 × 12,912.13
  4. Step 4: Simplify right side
    20,078.99x = 357,950,196.98
  5. Step 5: Solve for x
    x = 357,950,196.98/20,078.99
  6. Step 6: Final answer
    x = 17,827.10

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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.