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Finding the Fourth Proportional to 13,286.23, 19,920.03 and 5,886.67

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Solution

The fourth proportional to 13,286.23, 19,920.03 and 5,886.67 is: 8,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.23 : 19,920.03 = 5,886.67 : x
  2. Step 2: Convert to fraction form
    13,286.23/19,920.03 = 5,886.67/x
  3. Step 3: Cross multiply
    13,286.23x = 19,920.03 × 5,886.67
  4. Step 4: Simplify right side
    13,286.23x = 117,262,643.00
  5. Step 5: Solve for x
    x = 117,262,643.00/13,286.23
  6. Step 6: Final answer
    x = 8,825.88

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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.