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Finding the Fourth Proportional to 3,949.12, 5,930.40 and 3,784

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Solution

The fourth proportional to 3,949.12, 5,930.40 and 3,784 is: 5,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.12 : 5,930.40 = 3,784 : x
  2. Step 2: Convert to fraction form
    3,949.12/5,930.40 = 3,784/x
  3. Step 3: Cross multiply
    3,949.12x = 5,930.40 × 3,784
  4. Step 4: Simplify right side
    3,949.12x = 22,440,633.60
  5. Step 5: Solve for x
    x = 22,440,633.60/3,949.12
  6. Step 6: Final answer
    x = 5,682.44

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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.