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Finding the Fourth Proportional to 21,914.25, 30,239.84 and 12,223.11

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Solution

The fourth proportional to 21,914.25, 30,239.84 and 12,223.11 is: 16,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.25 : 30,239.84 = 12,223.11 : x
  2. Step 2: Convert to fraction form
    21,914.25/30,239.84 = 12,223.11/x
  3. Step 3: Cross multiply
    21,914.25x = 30,239.84 × 12,223.11
  4. Step 4: Simplify right side
    21,914.25x = 369,624,678.39
  5. Step 5: Solve for x
    x = 369,624,678.39/21,914.25
  6. Step 6: Final answer
    x = 16,866.86

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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.