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Finding the Fourth Proportional to 3,827.90, 5,728.88 and 2,289.98

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Solution

The fourth proportional to 3,827.90, 5,728.88 and 2,289.98 is: 3,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.90 : 5,728.88 = 2,289.98 : x
  2. Step 2: Convert to fraction form
    3,827.90/5,728.88 = 2,289.98/x
  3. Step 3: Cross multiply
    3,827.90x = 5,728.88 × 2,289.98
  4. Step 4: Simplify right side
    3,827.90x = 13,119,020.62
  5. Step 5: Solve for x
    x = 13,119,020.62/3,827.90
  6. Step 6: Final answer
    x = 3,427.21

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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.