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Finding the Fourth Proportional to 7,175.96, 9,902.66 and 4,150.86

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Solution

The fourth proportional to 7,175.96, 9,902.66 and 4,150.86 is: 5,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.96 : 9,902.66 = 4,150.86 : x
  2. Step 2: Convert to fraction form
    7,175.96/9,902.66 = 4,150.86/x
  3. Step 3: Cross multiply
    7,175.96x = 9,902.66 × 4,150.86
  4. Step 4: Simplify right side
    7,175.96x = 41,104,497.40
  5. Step 5: Solve for x
    x = 41,104,497.40/7,175.96
  6. Step 6: Final answer
    x = 5,728.08

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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.