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Finding the Fourth Proportional to 7,745.09, 10,688.09 and 4,208.22

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Solution

The fourth proportional to 7,745.09, 10,688.09 and 4,208.22 is: 5,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.09 : 10,688.09 = 4,208.22 : x
  2. Step 2: Convert to fraction form
    7,745.09/10,688.09 = 4,208.22/x
  3. Step 3: Cross multiply
    7,745.09x = 10,688.09 × 4,208.22
  4. Step 4: Simplify right side
    7,745.09x = 44,977,813.06
  5. Step 5: Solve for x
    x = 44,977,813.06/7,745.09
  6. Step 6: Final answer
    x = 5,807.27

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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.