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Finding the Fourth Proportional to 11,137.46, 16,667.51 and 6,918.98

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Solution

The fourth proportional to 11,137.46, 16,667.51 and 6,918.98 is: 10,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.46 : 16,667.51 = 6,918.98 : x
  2. Step 2: Convert to fraction form
    11,137.46/16,667.51 = 6,918.98/x
  3. Step 3: Cross multiply
    11,137.46x = 16,667.51 × 6,918.98
  4. Step 4: Simplify right side
    11,137.46x = 115,322,050.41
  5. Step 5: Solve for x
    x = 115,322,050.41/11,137.46
  6. Step 6: Final answer
    x = 10,354.43

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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.