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Finding the Fourth Proportional to 5,562, 7,678.33 and 3,203.68

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Solution

The fourth proportional to 5,562, 7,678.33 and 3,203.68 is: 4,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562 : 7,678.33 = 3,203.68 : x
  2. Step 2: Convert to fraction form
    5,562/7,678.33 = 3,203.68/x
  3. Step 3: Cross multiply
    5,562x = 7,678.33 × 3,203.68
  4. Step 4: Simplify right side
    5,562x = 24,598,912.25
  5. Step 5: Solve for x
    x = 24,598,912.25/5,562
  6. Step 6: Final answer
    x = 4,422.67

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Why These Related Problems?

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