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Finding the Fourth Proportional to 8,110.32, 12,175.56 and 8,072.88

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Solution

The fourth proportional to 8,110.32, 12,175.56 and 8,072.88 is: 12,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.32 : 12,175.56 = 8,072.88 : x
  2. Step 2: Convert to fraction form
    8,110.32/12,175.56 = 8,072.88/x
  3. Step 3: Cross multiply
    8,110.32x = 12,175.56 × 8,072.88
  4. Step 4: Simplify right side
    8,110.32x = 98,291,834.81
  5. Step 5: Solve for x
    x = 98,291,834.81/8,110.32
  6. Step 6: Final answer
    x = 12,119.35

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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.