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Finding the Fourth Proportional to 7,165.13, 9,887.87 and 4,022.33

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Solution

The fourth proportional to 7,165.13, 9,887.87 and 4,022.33 is: 5,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.13 : 9,887.87 = 4,022.33 : x
  2. Step 2: Convert to fraction form
    7,165.13/9,887.87 = 4,022.33/x
  3. Step 3: Cross multiply
    7,165.13x = 9,887.87 × 4,022.33
  4. Step 4: Simplify right side
    7,165.13x = 39,772,236.75
  5. Step 5: Solve for x
    x = 39,772,236.75/7,165.13
  6. Step 6: Final answer
    x = 5,550.81

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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.