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Finding the Fourth Proportional to 3,799, 5,701.20 and 1,490.50

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Solution

The fourth proportional to 3,799, 5,701.20 and 1,490.50 is: 2,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799 : 5,701.20 = 1,490.50 : x
  2. Step 2: Convert to fraction form
    3,799/5,701.20 = 1,490.50/x
  3. Step 3: Cross multiply
    3,799x = 5,701.20 × 1,490.50
  4. Step 4: Simplify right side
    3,799x = 8,497,638.60
  5. Step 5: Solve for x
    x = 8,497,638.60/3,799
  6. Step 6: Final answer
    x = 2,236.81

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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.