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Finding the Fourth Proportional to 21,758.56, 30,028.94 and 12,200.08

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Solution

The fourth proportional to 21,758.56, 30,028.94 and 12,200.08 is: 16,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.56 : 30,028.94 = 12,200.08 : x
  2. Step 2: Convert to fraction form
    21,758.56/30,028.94 = 12,200.08/x
  3. Step 3: Cross multiply
    21,758.56x = 30,028.94 × 12,200.08
  4. Step 4: Simplify right side
    21,758.56x = 366,355,470.32
  5. Step 5: Solve for x
    x = 366,355,470.32/21,758.56
  6. Step 6: Final answer
    x = 16,837.30

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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.