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Finding the Fourth Proportional to 2,586.37, 3,879.81 and 831.41

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Solution

The fourth proportional to 2,586.37, 3,879.81 and 831.41 is: 1,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.37 : 3,879.81 = 831.41 : x
  2. Step 2: Convert to fraction form
    2,586.37/3,879.81 = 831.41/x
  3. Step 3: Cross multiply
    2,586.37x = 3,879.81 × 831.41
  4. Step 4: Simplify right side
    2,586.37x = 3,225,712.83
  5. Step 5: Solve for x
    x = 3,225,712.83/2,586.37
  6. Step 6: Final answer
    x = 1,247.20

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Why These Related Problems?

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