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Finding the Fourth Proportional to 11,705.84, 17,555.11 and 3,912.83

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Solution

The fourth proportional to 11,705.84, 17,555.11 and 3,912.83 is: 5,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.84 : 17,555.11 = 3,912.83 : x
  2. Step 2: Convert to fraction form
    11,705.84/17,555.11 = 3,912.83/x
  3. Step 3: Cross multiply
    11,705.84x = 17,555.11 × 3,912.83
  4. Step 4: Simplify right side
    11,705.84x = 68,690,161.06
  5. Step 5: Solve for x
    x = 68,690,161.06/11,705.84
  6. Step 6: Final answer
    x = 5,868.02

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1.5x scale

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.