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Finding the Fourth Proportional to 9,175.91, 12,666.62 and 6,195.77

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Solution

The fourth proportional to 9,175.91, 12,666.62 and 6,195.77 is: 8,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.91 : 12,666.62 = 6,195.77 : x
  2. Step 2: Convert to fraction form
    9,175.91/12,666.62 = 6,195.77/x
  3. Step 3: Cross multiply
    9,175.91x = 12,666.62 × 6,195.77
  4. Step 4: Simplify right side
    9,175.91x = 78,479,369.89
  5. Step 5: Solve for x
    x = 78,479,369.89/9,175.91
  6. Step 6: Final answer
    x = 8,552.77

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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.