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Finding the Fourth Proportional to 3,822.93, 5,275.22 and 2,143.99

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Solution

The fourth proportional to 3,822.93, 5,275.22 and 2,143.99 is: 2,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.93 : 5,275.22 = 2,143.99 : x
  2. Step 2: Convert to fraction form
    3,822.93/5,275.22 = 2,143.99/x
  3. Step 3: Cross multiply
    3,822.93x = 5,275.22 × 2,143.99
  4. Step 4: Simplify right side
    3,822.93x = 11,309,995.02
  5. Step 5: Solve for x
    x = 11,309,995.02/3,822.93
  6. Step 6: Final answer
    x = 2,958.46

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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.