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Finding the Fourth Proportional to 7,028.22, 9,699.96 and 4,195.72

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Solution

The fourth proportional to 7,028.22, 9,699.96 and 4,195.72 is: 5,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.22 : 9,699.96 = 4,195.72 : x
  2. Step 2: Convert to fraction form
    7,028.22/9,699.96 = 4,195.72/x
  3. Step 3: Cross multiply
    7,028.22x = 9,699.96 × 4,195.72
  4. Step 4: Simplify right side
    7,028.22x = 40,698,316.17
  5. Step 5: Solve for x
    x = 40,698,316.17/7,028.22
  6. Step 6: Final answer
    x = 5,790.70

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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.