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Finding the Fourth Proportional to 11,743.47, 16,206.04 and 6,438.37

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Solution

The fourth proportional to 11,743.47, 16,206.04 and 6,438.37 is: 8,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.47 : 16,206.04 = 6,438.37 : x
  2. Step 2: Convert to fraction form
    11,743.47/16,206.04 = 6,438.37/x
  3. Step 3: Cross multiply
    11,743.47x = 16,206.04 × 6,438.37
  4. Step 4: Simplify right side
    11,743.47x = 104,340,481.75
  5. Step 5: Solve for x
    x = 104,340,481.75/11,743.47
  6. Step 6: Final answer
    x = 8,884.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.