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Finding the Fourth Proportional to 12,831.92, 17,697 and 8,354

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Solution

The fourth proportional to 12,831.92, 17,697 and 8,354 is: 11,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.92 : 17,697 = 8,354 : x
  2. Step 2: Convert to fraction form
    12,831.92/17,697 = 8,354/x
  3. Step 3: Cross multiply
    12,831.92x = 17,697 × 8,354
  4. Step 4: Simplify right side
    12,831.92x = 147,840,738
  5. Step 5: Solve for x
    x = 147,840,738/12,831.92
  6. Step 6: Final answer
    x = 11,521.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.