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Finding the Fourth Proportional to 5,563.77, 7,678.44 and 3,206.67

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Solution

The fourth proportional to 5,563.77, 7,678.44 and 3,206.67 is: 4,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.77 : 7,678.44 = 3,206.67 : x
  2. Step 2: Convert to fraction form
    5,563.77/7,678.44 = 3,206.67/x
  3. Step 3: Cross multiply
    5,563.77x = 7,678.44 × 3,206.67
  4. Step 4: Simplify right side
    5,563.77x = 24,622,223.19
  5. Step 5: Solve for x
    x = 24,622,223.19/5,563.77
  6. Step 6: Final answer
    x = 4,425.46

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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.