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Finding the Fourth Proportional to 7,183.86, 9,914.31 and 4,040.52

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Solution

The fourth proportional to 7,183.86, 9,914.31 and 4,040.52 is: 5,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.86 : 9,914.31 = 4,040.52 : x
  2. Step 2: Convert to fraction form
    7,183.86/9,914.31 = 4,040.52/x
  3. Step 3: Cross multiply
    7,183.86x = 9,914.31 × 4,040.52
  4. Step 4: Simplify right side
    7,183.86x = 40,058,967.84
  5. Step 5: Solve for x
    x = 40,058,967.84/7,183.86
  6. Step 6: Final answer
    x = 5,576.25

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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.