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Finding the Fourth Proportional to 9,182.80, 13,774.20 and 5,440.60

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Solution

The fourth proportional to 9,182.80, 13,774.20 and 5,440.60 is: 8,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.80 : 13,774.20 = 5,440.60 : x
  2. Step 2: Convert to fraction form
    9,182.80/13,774.20 = 5,440.60/x
  3. Step 3: Cross multiply
    9,182.80x = 13,774.20 × 5,440.60
  4. Step 4: Simplify right side
    9,182.80x = 74,939,912.52
  5. Step 5: Solve for x
    x = 74,939,912.52/9,182.80
  6. Step 6: Final answer
    x = 8,160.90

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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.