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Finding the Fourth Proportional to 7,334.30, 10,122.03 and 4,189.88

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Solution

The fourth proportional to 7,334.30, 10,122.03 and 4,189.88 is: 5,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.30 : 10,122.03 = 4,189.88 : x
  2. Step 2: Convert to fraction form
    7,334.30/10,122.03 = 4,189.88/x
  3. Step 3: Cross multiply
    7,334.30x = 10,122.03 × 4,189.88
  4. Step 4: Simplify right side
    7,334.30x = 42,410,040.45
  5. Step 5: Solve for x
    x = 42,410,040.45/7,334.30
  6. Step 6: Final answer
    x = 5,782.43

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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.