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Finding the Fourth Proportional to 11,611.57, 16,024.32 and 6,831.88

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Solution

The fourth proportional to 11,611.57, 16,024.32 and 6,831.88 is: 9,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.57 : 16,024.32 = 6,831.88 : x
  2. Step 2: Convert to fraction form
    11,611.57/16,024.32 = 6,831.88/x
  3. Step 3: Cross multiply
    11,611.57x = 16,024.32 × 6,831.88
  4. Step 4: Simplify right side
    11,611.57x = 109,476,231.32
  5. Step 5: Solve for x
    x = 109,476,231.32/11,611.57
  6. Step 6: Final answer
    x = 9,428.20

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