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Finding the Fourth Proportional to 8,000.14, 11,988.93 and 3,778.89

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Solution

The fourth proportional to 8,000.14, 11,988.93 and 3,778.89 is: 5,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.14 : 11,988.93 = 3,778.89 : x
  2. Step 2: Convert to fraction form
    8,000.14/11,988.93 = 3,778.89/x
  3. Step 3: Cross multiply
    8,000.14x = 11,988.93 × 3,778.89
  4. Step 4: Simplify right side
    8,000.14x = 45,304,847.69
  5. Step 5: Solve for x
    x = 45,304,847.69/8,000.14
  6. Step 6: Final answer
    x = 5,663.01

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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.