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Finding the Fourth Proportional to 22,523.77, 33,780.42 and 8,485.21

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Solution

The fourth proportional to 22,523.77, 33,780.42 and 8,485.21 is: 12,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.77 : 33,780.42 = 8,485.21 : x
  2. Step 2: Convert to fraction form
    22,523.77/33,780.42 = 8,485.21/x
  3. Step 3: Cross multiply
    22,523.77x = 33,780.42 × 8,485.21
  4. Step 4: Simplify right side
    22,523.77x = 286,633,785.93
  5. Step 5: Solve for x
    x = 286,633,785.93/22,523.77
  6. Step 6: Final answer
    x = 12,725.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.