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Finding the Fourth Proportional to 17,760, 26,640.48 and 5,448

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Solution

The fourth proportional to 17,760, 26,640.48 and 5,448 is: 8,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760 : 26,640.48 = 5,448 : x
  2. Step 2: Convert to fraction form
    17,760/26,640.48 = 5,448/x
  3. Step 3: Cross multiply
    17,760x = 26,640.48 × 5,448
  4. Step 4: Simplify right side
    17,760x = 145,137,335.04
  5. Step 5: Solve for x
    x = 145,137,335.04/17,760
  6. Step 6: Final answer
    x = 8,172.15

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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.