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Finding the Fourth Proportional to 11,191.95, 16,781.76 and 4,616.64

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Solution

The fourth proportional to 11,191.95, 16,781.76 and 4,616.64 is: 6,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.95 : 16,781.76 = 4,616.64 : x
  2. Step 2: Convert to fraction form
    11,191.95/16,781.76 = 4,616.64/x
  3. Step 3: Cross multiply
    11,191.95x = 16,781.76 × 4,616.64
  4. Step 4: Simplify right side
    11,191.95x = 77,475,344.49
  5. Step 5: Solve for x
    x = 77,475,344.49/11,191.95
  6. Step 6: Final answer
    x = 6,922.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.