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Finding the Fourth Proportional to 5,486.25, 8,229.48 and 1,978.75

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Solution

The fourth proportional to 5,486.25, 8,229.48 and 1,978.75 is: 2,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.25 : 8,229.48 = 1,978.75 : x
  2. Step 2: Convert to fraction form
    5,486.25/8,229.48 = 1,978.75/x
  3. Step 3: Cross multiply
    5,486.25x = 8,229.48 × 1,978.75
  4. Step 4: Simplify right side
    5,486.25x = 16,284,083.55
  5. Step 5: Solve for x
    x = 16,284,083.55/5,486.25
  6. Step 6: Final answer
    x = 2,968.16

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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.