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Finding the Fourth Proportional to 7,739.37, 10,680.37 and 4,202.57

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Solution

The fourth proportional to 7,739.37, 10,680.37 and 4,202.57 is: 5,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.37 : 10,680.37 = 4,202.57 : x
  2. Step 2: Convert to fraction form
    7,739.37/10,680.37 = 4,202.57/x
  3. Step 3: Cross multiply
    7,739.37x = 10,680.37 × 4,202.57
  4. Step 4: Simplify right side
    7,739.37x = 44,885,018.75
  5. Step 5: Solve for x
    x = 44,885,018.75/7,739.37
  6. Step 6: Final answer
    x = 5,799.57

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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.