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Finding the Fourth Proportional to 19,320, 28,980 and 5,469

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Solution

The fourth proportional to 19,320, 28,980 and 5,469 is: 8,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,320 : 28,980 = 5,469 : x
  2. Step 2: Convert to fraction form
    19,320/28,980 = 5,469/x
  3. Step 3: Cross multiply
    19,320x = 28,980 × 5,469
  4. Step 4: Simplify right side
    19,320x = 158,491,620
  5. Step 5: Solve for x
    x = 158,491,620/19,320
  6. Step 6: Final answer
    x = 8,203.50

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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.