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Finding the Fourth Proportional to 2,586.64, 3,880.31 and 831.23

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Solution

The fourth proportional to 2,586.64, 3,880.31 and 831.23 is: 1,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.64 : 3,880.31 = 831.23 : x
  2. Step 2: Convert to fraction form
    2,586.64/3,880.31 = 831.23/x
  3. Step 3: Cross multiply
    2,586.64x = 3,880.31 × 831.23
  4. Step 4: Simplify right side
    2,586.64x = 3,225,410.68
  5. Step 5: Solve for x
    x = 3,225,410.68/2,586.64
  6. Step 6: Final answer
    x = 1,246.95

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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.