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Finding the Fourth Proportional to 11,881.34, 16,400.36 and 6,847.58

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Solution

The fourth proportional to 11,881.34, 16,400.36 and 6,847.58 is: 9,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.34 : 16,400.36 = 6,847.58 : x
  2. Step 2: Convert to fraction form
    11,881.34/16,400.36 = 6,847.58/x
  3. Step 3: Cross multiply
    11,881.34x = 16,400.36 × 6,847.58
  4. Step 4: Simplify right side
    11,881.34x = 112,302,660.89
  5. Step 5: Solve for x
    x = 112,302,660.89/11,881.34
  6. Step 6: Final answer
    x = 9,452.02

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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.