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Finding the Fourth Proportional to 22,469.76, 33,705.42 and 8,428.35

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Solution

The fourth proportional to 22,469.76, 33,705.42 and 8,428.35 is: 12,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.76 : 33,705.42 = 8,428.35 : x
  2. Step 2: Convert to fraction form
    22,469.76/33,705.42 = 8,428.35/x
  3. Step 3: Cross multiply
    22,469.76x = 33,705.42 × 8,428.35
  4. Step 4: Simplify right side
    22,469.76x = 284,081,076.66
  5. Step 5: Solve for x
    x = 284,081,076.66/22,469.76
  6. Step 6: Final answer
    x = 12,642.82

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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.