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Finding the Fourth Proportional to 8,051.32, 12,072.52 and 2,783.49

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Solution

The fourth proportional to 8,051.32, 12,072.52 and 2,783.49 is: 4,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.32 : 12,072.52 = 2,783.49 : x
  2. Step 2: Convert to fraction form
    8,051.32/12,072.52 = 2,783.49/x
  3. Step 3: Cross multiply
    8,051.32x = 12,072.52 × 2,783.49
  4. Step 4: Simplify right side
    8,051.32x = 33,603,738.69
  5. Step 5: Solve for x
    x = 33,603,738.69/8,051.32
  6. Step 6: Final answer
    x = 4,173.69

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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.