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Finding the Fourth Proportional to 13,852.68, 20,788.14 and 5,087.67

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Solution

The fourth proportional to 13,852.68, 20,788.14 and 5,087.67 is: 7,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.68 : 20,788.14 = 5,087.67 : x
  2. Step 2: Convert to fraction form
    13,852.68/20,788.14 = 5,087.67/x
  3. Step 3: Cross multiply
    13,852.68x = 20,788.14 × 5,087.67
  4. Step 4: Simplify right side
    13,852.68x = 105,763,170.80
  5. Step 5: Solve for x
    x = 105,763,170.80/13,852.68
  6. Step 6: Final answer
    x = 7,634.85

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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.