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Finding the Fourth Proportional to 11,886, 16,402.68 and 6,920.88

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Solution

The fourth proportional to 11,886, 16,402.68 and 6,920.88 is: 9,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886 : 16,402.68 = 6,920.88 : x
  2. Step 2: Convert to fraction form
    11,886/16,402.68 = 6,920.88/x
  3. Step 3: Cross multiply
    11,886x = 16,402.68 × 6,920.88
  4. Step 4: Simplify right side
    11,886x = 113,520,979.96
  5. Step 5: Solve for x
    x = 113,520,979.96/11,886
  6. Step 6: Final answer
    x = 9,550.81

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1.5x scale

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.