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Finding the Fourth Proportional to 5,468.90, 8,190.28 and 2,829.30

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Solution

The fourth proportional to 5,468.90, 8,190.28 and 2,829.30 is: 4,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.90 : 8,190.28 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    5,468.90/8,190.28 = 2,829.30/x
  3. Step 3: Cross multiply
    5,468.90x = 8,190.28 × 2,829.30
  4. Step 4: Simplify right side
    5,468.90x = 23,172,759.20
  5. Step 5: Solve for x
    x = 23,172,759.20/5,468.90
  6. Step 6: Final answer
    x = 4,237.19

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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.