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Finding the Fourth Proportional to 17,280, 23,847.48 and 9,828

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Solution

The fourth proportional to 17,280, 23,847.48 and 9,828 is: 13,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280 : 23,847.48 = 9,828 : x
  2. Step 2: Convert to fraction form
    17,280/23,847.48 = 9,828/x
  3. Step 3: Cross multiply
    17,280x = 23,847.48 × 9,828
  4. Step 4: Simplify right side
    17,280x = 234,373,033.44
  5. Step 5: Solve for x
    x = 234,373,033.44/17,280
  6. Step 6: Final answer
    x = 13,563.25

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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.