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Finding the Fourth Proportional to 8,143.36, 11,209.44 and 7,027.84

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Solution

The fourth proportional to 8,143.36, 11,209.44 and 7,027.84 is: 9,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.36 : 11,209.44 = 7,027.84 : x
  2. Step 2: Convert to fraction form
    8,143.36/11,209.44 = 7,027.84/x
  3. Step 3: Cross multiply
    8,143.36x = 11,209.44 × 7,027.84
  4. Step 4: Simplify right side
    8,143.36x = 78,778,150.81
  5. Step 5: Solve for x
    x = 78,778,150.81/8,143.36
  6. Step 6: Final answer
    x = 9,673.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.