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Finding the Fourth Proportional to 11,223, 16,834.50 and 3,015

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Solution

The fourth proportional to 11,223, 16,834.50 and 3,015 is: 4,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223 : 16,834.50 = 3,015 : x
  2. Step 2: Convert to fraction form
    11,223/16,834.50 = 3,015/x
  3. Step 3: Cross multiply
    11,223x = 16,834.50 × 3,015
  4. Step 4: Simplify right side
    11,223x = 50,756,017.50
  5. Step 5: Solve for x
    x = 50,756,017.50/11,223
  6. Step 6: Final answer
    x = 4,522.50

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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.