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Finding the Fourth Proportional to 13,181.52, 19,768.40 and 4,414.40

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Solution

The fourth proportional to 13,181.52, 19,768.40 and 4,414.40 is: 6,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.52 : 19,768.40 = 4,414.40 : x
  2. Step 2: Convert to fraction form
    13,181.52/19,768.40 = 4,414.40/x
  3. Step 3: Cross multiply
    13,181.52x = 19,768.40 × 4,414.40
  4. Step 4: Simplify right side
    13,181.52x = 87,265,624.96
  5. Step 5: Solve for x
    x = 87,265,624.96/13,181.52
  6. Step 6: Final answer
    x = 6,620.30

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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.