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Finding the Fourth Proportional to 11,658, 16,089 and 6,690.96

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Solution

The fourth proportional to 11,658, 16,089 and 6,690.96 is: 9,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658 : 16,089 = 6,690.96 : x
  2. Step 2: Convert to fraction form
    11,658/16,089 = 6,690.96/x
  3. Step 3: Cross multiply
    11,658x = 16,089 × 6,690.96
  4. Step 4: Simplify right side
    11,658x = 107,650,855.44
  5. Step 5: Solve for x
    x = 107,650,855.44/11,658
  6. Step 6: Final answer
    x = 9,234.08

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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.