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Finding the Fourth Proportional to 3,830.61, 5,744.42 and 1,490.30

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Solution

The fourth proportional to 3,830.61, 5,744.42 and 1,490.30 is: 2,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.61 : 5,744.42 = 1,490.30 : x
  2. Step 2: Convert to fraction form
    3,830.61/5,744.42 = 1,490.30/x
  3. Step 3: Cross multiply
    3,830.61x = 5,744.42 × 1,490.30
  4. Step 4: Simplify right side
    3,830.61x = 8,560,905.67
  5. Step 5: Solve for x
    x = 8,560,905.67/3,830.61
  6. Step 6: Final answer
    x = 2,234.87

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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.