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Finding the Fourth Proportional to 6,112.38, 9,177.93 and 5,388.06

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Solution

The fourth proportional to 6,112.38, 9,177.93 and 5,388.06 is: 8,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.38 : 9,177.93 = 5,388.06 : x
  2. Step 2: Convert to fraction form
    6,112.38/9,177.93 = 5,388.06/x
  3. Step 3: Cross multiply
    6,112.38x = 9,177.93 × 5,388.06
  4. Step 4: Simplify right side
    6,112.38x = 49,451,237.52
  5. Step 5: Solve for x
    x = 49,451,237.52/6,112.38
  6. Step 6: Final answer
    x = 8,090.34

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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.