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Finding the Fourth Proportional to 3,867.39, 5,804.90 and 2,019.99

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Solution

The fourth proportional to 3,867.39, 5,804.90 and 2,019.99 is: 3,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.39 : 5,804.90 = 2,019.99 : x
  2. Step 2: Convert to fraction form
    3,867.39/5,804.90 = 2,019.99/x
  3. Step 3: Cross multiply
    3,867.39x = 5,804.90 × 2,019.99
  4. Step 4: Simplify right side
    3,867.39x = 11,725,829.85
  5. Step 5: Solve for x
    x = 11,725,829.85/3,867.39
  6. Step 6: Final answer
    x = 3,031.98

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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.