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Finding the Fourth Proportional to 11,831.33, 17,759.30 and 8,714.85

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Solution

The fourth proportional to 11,831.33, 17,759.30 and 8,714.85 is: 13,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.33 : 17,759.30 = 8,714.85 : x
  2. Step 2: Convert to fraction form
    11,831.33/17,759.30 = 8,714.85/x
  3. Step 3: Cross multiply
    11,831.33x = 17,759.30 × 8,714.85
  4. Step 4: Simplify right side
    11,831.33x = 154,769,635.61
  5. Step 5: Solve for x
    x = 154,769,635.61/11,831.33
  6. Step 6: Final answer
    x = 13,081.34

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