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Finding the Fourth Proportional to 7,977.33, 11,966 and 2,133.93

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Solution

The fourth proportional to 7,977.33, 11,966 and 2,133.93 is: 3,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.33 : 11,966 = 2,133.93 : x
  2. Step 2: Convert to fraction form
    7,977.33/11,966 = 2,133.93/x
  3. Step 3: Cross multiply
    7,977.33x = 11,966 × 2,133.93
  4. Step 4: Simplify right side
    7,977.33x = 25,534,606.38
  5. Step 5: Solve for x
    x = 25,534,606.38/7,977.33
  6. Step 6: Final answer
    x = 3,200.90

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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.