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Finding the Fourth Proportional to 7,102.09, 9,800.71 and 4,450.96

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Solution

The fourth proportional to 7,102.09, 9,800.71 and 4,450.96 is: 6,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.09 : 9,800.71 = 4,450.96 : x
  2. Step 2: Convert to fraction form
    7,102.09/9,800.71 = 4,450.96/x
  3. Step 3: Cross multiply
    7,102.09x = 9,800.71 × 4,450.96
  4. Step 4: Simplify right side
    7,102.09x = 43,622,568.18
  5. Step 5: Solve for x
    x = 43,622,568.18/7,102.09
  6. Step 6: Final answer
    x = 6,142.22

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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.