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Finding the Fourth Proportional to 11,857.25, 17,759.70 and 7,684.67

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Solution

The fourth proportional to 11,857.25, 17,759.70 and 7,684.67 is: 11,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.25 : 17,759.70 = 7,684.67 : x
  2. Step 2: Convert to fraction form
    11,857.25/17,759.70 = 7,684.67/x
  3. Step 3: Cross multiply
    11,857.25x = 17,759.70 × 7,684.67
  4. Step 4: Simplify right side
    11,857.25x = 136,477,345.00
  5. Step 5: Solve for x
    x = 136,477,345.00/11,857.25
  6. Step 6: Final answer
    x = 11,510.04

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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.