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Finding the Fourth Proportional to 9,219, 13,828.50 and 2,984.22

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Solution

The fourth proportional to 9,219, 13,828.50 and 2,984.22 is: 4,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219 : 13,828.50 = 2,984.22 : x
  2. Step 2: Convert to fraction form
    9,219/13,828.50 = 2,984.22/x
  3. Step 3: Cross multiply
    9,219x = 13,828.50 × 2,984.22
  4. Step 4: Simplify right side
    9,219x = 41,267,286.27
  5. Step 5: Solve for x
    x = 41,267,286.27/9,219
  6. Step 6: Final answer
    x = 4,476.33

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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.