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Finding the Fourth Proportional to 8,193.32, 12,279.69 and 3,507.83

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Solution

The fourth proportional to 8,193.32, 12,279.69 and 3,507.83 is: 5,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.32 : 12,279.69 = 3,507.83 : x
  2. Step 2: Convert to fraction form
    8,193.32/12,279.69 = 3,507.83/x
  3. Step 3: Cross multiply
    8,193.32x = 12,279.69 × 3,507.83
  4. Step 4: Simplify right side
    8,193.32x = 43,075,003.57
  5. Step 5: Solve for x
    x = 43,075,003.57/8,193.32
  6. Step 6: Final answer
    x = 5,257.34

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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.