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Finding the Fourth Proportional to 3,188.82, 4,784.14 and 1,338.98

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Solution

The fourth proportional to 3,188.82, 4,784.14 and 1,338.98 is: 2,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.82 : 4,784.14 = 1,338.98 : x
  2. Step 2: Convert to fraction form
    3,188.82/4,784.14 = 1,338.98/x
  3. Step 3: Cross multiply
    3,188.82x = 4,784.14 × 1,338.98
  4. Step 4: Simplify right side
    3,188.82x = 6,405,868.68
  5. Step 5: Solve for x
    x = 6,405,868.68/3,188.82
  6. Step 6: Final answer
    x = 2,008.85

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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.