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Finding the Fourth Proportional to 13,919, 19,208.28 and 8,330

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Solution

The fourth proportional to 13,919, 19,208.28 and 8,330 is: 11,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919 : 19,208.28 = 8,330 : x
  2. Step 2: Convert to fraction form
    13,919/19,208.28 = 8,330/x
  3. Step 3: Cross multiply
    13,919x = 19,208.28 × 8,330
  4. Step 4: Simplify right side
    13,919x = 160,004,972.40
  5. Step 5: Solve for x
    x = 160,004,972.40/13,919
  6. Step 6: Final answer
    x = 11,495.44

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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.