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Finding the Fourth Proportional to 5,490, 8,235 and 2,027.25

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Solution

The fourth proportional to 5,490, 8,235 and 2,027.25 is: 3,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490 : 8,235 = 2,027.25 : x
  2. Step 2: Convert to fraction form
    5,490/8,235 = 2,027.25/x
  3. Step 3: Cross multiply
    5,490x = 8,235 × 2,027.25
  4. Step 4: Simplify right side
    5,490x = 16,694,403.75
  5. Step 5: Solve for x
    x = 16,694,403.75/5,490
  6. Step 6: Final answer
    x = 3,040.88

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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.