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Finding the Fourth Proportional to 11,191.72, 16,777.84 and 6,565

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Solution

The fourth proportional to 11,191.72, 16,777.84 and 6,565 is: 9,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.72 : 16,777.84 = 6,565 : x
  2. Step 2: Convert to fraction form
    11,191.72/16,777.84 = 6,565/x
  3. Step 3: Cross multiply
    11,191.72x = 16,777.84 × 6,565
  4. Step 4: Simplify right side
    11,191.72x = 110,146,519.60
  5. Step 5: Solve for x
    x = 110,146,519.60/11,191.72
  6. Step 6: Final answer
    x = 9,841.79

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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.