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Finding the Fourth Proportional to 11,722.82, 17,584.23 and 3,931.61

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Solution

The fourth proportional to 11,722.82, 17,584.23 and 3,931.61 is: 5,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.82 : 17,584.23 = 3,931.61 : x
  2. Step 2: Convert to fraction form
    11,722.82/17,584.23 = 3,931.61/x
  3. Step 3: Cross multiply
    11,722.82x = 17,584.23 × 3,931.61
  4. Step 4: Simplify right side
    11,722.82x = 69,134,334.51
  5. Step 5: Solve for x
    x = 69,134,334.51/11,722.82
  6. Step 6: Final answer
    x = 5,897.42

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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.