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Finding the Fourth Proportional to 22,578.54, 33,872.94 and 7,787.70

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Solution

The fourth proportional to 22,578.54, 33,872.94 and 7,787.70 is: 11,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.54 : 33,872.94 = 7,787.70 : x
  2. Step 2: Convert to fraction form
    22,578.54/33,872.94 = 7,787.70/x
  3. Step 3: Cross multiply
    22,578.54x = 33,872.94 × 7,787.70
  4. Step 4: Simplify right side
    22,578.54x = 263,792,294.84
  5. Step 5: Solve for x
    x = 263,792,294.84/22,578.54
  6. Step 6: Final answer
    x = 11,683.32

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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.