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Finding the Fourth Proportional to 5,623.44, 7,762.24 and 3,857.68

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Solution

The fourth proportional to 5,623.44, 7,762.24 and 3,857.68 is: 5,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.44 : 7,762.24 = 3,857.68 : x
  2. Step 2: Convert to fraction form
    5,623.44/7,762.24 = 3,857.68/x
  3. Step 3: Cross multiply
    5,623.44x = 7,762.24 × 3,857.68
  4. Step 4: Simplify right side
    5,623.44x = 29,944,238.00
  5. Step 5: Solve for x
    x = 29,944,238.00/5,623.44
  6. Step 6: Final answer
    x = 5,324.90

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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.