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Finding the Fourth Proportional to 11,705.76, 17,558.76 and 3,914.58

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Solution

The fourth proportional to 11,705.76, 17,558.76 and 3,914.58 is: 5,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.76 : 17,558.76 = 3,914.58 : x
  2. Step 2: Convert to fraction form
    11,705.76/17,558.76 = 3,914.58/x
  3. Step 3: Cross multiply
    11,705.76x = 17,558.76 × 3,914.58
  4. Step 4: Simplify right side
    11,705.76x = 68,735,170.72
  5. Step 5: Solve for x
    x = 68,735,170.72/11,705.76
  6. Step 6: Final answer
    x = 5,871.91

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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.