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Finding the Fourth Proportional to 11,886, 16,402.68 and 6,918

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Solution

The fourth proportional to 11,886, 16,402.68 and 6,918 is: 9,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886 : 16,402.68 = 6,918 : x
  2. Step 2: Convert to fraction form
    11,886/16,402.68 = 6,918/x
  3. Step 3: Cross multiply
    11,886x = 16,402.68 × 6,918
  4. Step 4: Simplify right side
    11,886x = 113,473,740.24
  5. Step 5: Solve for x
    x = 113,473,740.24/11,886
  6. Step 6: Final answer
    x = 9,546.84

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Why These Related Problems?

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