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Finding the Fourth Proportional to 9,190.80, 13,782.15 and 3,642.30

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Solution

The fourth proportional to 9,190.80, 13,782.15 and 3,642.30 is: 5,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.80 : 13,782.15 = 3,642.30 : x
  2. Step 2: Convert to fraction form
    9,190.80/13,782.15 = 3,642.30/x
  3. Step 3: Cross multiply
    9,190.80x = 13,782.15 × 3,642.30
  4. Step 4: Simplify right side
    9,190.80x = 50,198,724.95
  5. Step 5: Solve for x
    x = 50,198,724.95/9,190.80
  6. Step 6: Final answer
    x = 5,461.84

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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.