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Finding the Fourth Proportional to 7,175.35, 9,896.67 and 4,191.01

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Solution

The fourth proportional to 7,175.35, 9,896.67 and 4,191.01 is: 5,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.35 : 9,896.67 = 4,191.01 : x
  2. Step 2: Convert to fraction form
    7,175.35/9,896.67 = 4,191.01/x
  3. Step 3: Cross multiply
    7,175.35x = 9,896.67 × 4,191.01
  4. Step 4: Simplify right side
    7,175.35x = 41,477,042.94
  5. Step 5: Solve for x
    x = 41,477,042.94/7,175.35
  6. Step 6: Final answer
    x = 5,780.49

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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.