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Finding the Fourth Proportional to 13,183.94, 19,775.92 and 4,865.78

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Solution

The fourth proportional to 13,183.94, 19,775.92 and 4,865.78 is: 7,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.94 : 19,775.92 = 4,865.78 : x
  2. Step 2: Convert to fraction form
    13,183.94/19,775.92 = 4,865.78/x
  3. Step 3: Cross multiply
    13,183.94x = 19,775.92 × 4,865.78
  4. Step 4: Simplify right side
    13,183.94x = 96,225,276.02
  5. Step 5: Solve for x
    x = 96,225,276.02/13,183.94
  6. Step 6: Final answer
    x = 7,298.67

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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.