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Finding the Fourth Proportional to 22,677.84, 33,972.84 and 12,786.84

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Solution

The fourth proportional to 22,677.84, 33,972.84 and 12,786.84 is: 19,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.84 : 33,972.84 = 12,786.84 : x
  2. Step 2: Convert to fraction form
    22,677.84/33,972.84 = 12,786.84/x
  3. Step 3: Cross multiply
    22,677.84x = 33,972.84 × 12,786.84
  4. Step 4: Simplify right side
    22,677.84x = 434,405,269.43
  5. Step 5: Solve for x
    x = 434,405,269.43/22,677.84
  6. Step 6: Final answer
    x = 19,155.50

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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.