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Finding the Fourth Proportional to 2,216.76, 3,325.53 and 831.03

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Solution

The fourth proportional to 2,216.76, 3,325.53 and 831.03 is: 1,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.76 : 3,325.53 = 831.03 : x
  2. Step 2: Convert to fraction form
    2,216.76/3,325.53 = 831.03/x
  3. Step 3: Cross multiply
    2,216.76x = 3,325.53 × 831.03
  4. Step 4: Simplify right side
    2,216.76x = 2,763,615.20
  5. Step 5: Solve for x
    x = 2,763,615.20/2,216.76
  6. Step 6: Final answer
    x = 1,246.69

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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.