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Finding the Fourth Proportional to 2,911.34, 4,367.12 and 831.53

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Solution

The fourth proportional to 2,911.34, 4,367.12 and 831.53 is: 1,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.34 : 4,367.12 = 831.53 : x
  2. Step 2: Convert to fraction form
    2,911.34/4,367.12 = 831.53/x
  3. Step 3: Cross multiply
    2,911.34x = 4,367.12 × 831.53
  4. Step 4: Simplify right side
    2,911.34x = 3,631,398.05
  5. Step 5: Solve for x
    x = 3,631,398.05/2,911.34
  6. Step 6: Final answer
    x = 1,247.33

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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.