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Finding the Fourth Proportional to 3,835.74, 5,749.29 and 1,889.31

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Solution

The fourth proportional to 3,835.74, 5,749.29 and 1,889.31 is: 2,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.74 : 5,749.29 = 1,889.31 : x
  2. Step 2: Convert to fraction form
    3,835.74/5,749.29 = 1,889.31/x
  3. Step 3: Cross multiply
    3,835.74x = 5,749.29 × 1,889.31
  4. Step 4: Simplify right side
    3,835.74x = 10,862,191.09
  5. Step 5: Solve for x
    x = 10,862,191.09/3,835.74
  6. Step 6: Final answer
    x = 2,831.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.