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Finding the Fourth Proportional to 5,397, 8,092.80 and 2,622

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Solution

The fourth proportional to 5,397, 8,092.80 and 2,622 is: 3,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397 : 8,092.80 = 2,622 : x
  2. Step 2: Convert to fraction form
    5,397/8,092.80 = 2,622/x
  3. Step 3: Cross multiply
    5,397x = 8,092.80 × 2,622
  4. Step 4: Simplify right side
    5,397x = 21,219,321.60
  5. Step 5: Solve for x
    x = 21,219,321.60/5,397
  6. Step 6: Final answer
    x = 3,931.69

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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.