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Finding the Fourth Proportional to 8,097.78, 11,175.44 and 4,911.35

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Solution

The fourth proportional to 8,097.78, 11,175.44 and 4,911.35 is: 6,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.78 : 11,175.44 = 4,911.35 : x
  2. Step 2: Convert to fraction form
    8,097.78/11,175.44 = 4,911.35/x
  3. Step 3: Cross multiply
    8,097.78x = 11,175.44 × 4,911.35
  4. Step 4: Simplify right side
    8,097.78x = 54,886,416.81
  5. Step 5: Solve for x
    x = 54,886,416.81/8,097.78
  6. Step 6: Final answer
    x = 6,777.96

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