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Finding the Fourth Proportional to 19,309.78, 28,945.23 and 13,464.82

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Solution

The fourth proportional to 19,309.78, 28,945.23 and 13,464.82 is: 20,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.78 : 28,945.23 = 13,464.82 : x
  2. Step 2: Convert to fraction form
    19,309.78/28,945.23 = 13,464.82/x
  3. Step 3: Cross multiply
    19,309.78x = 28,945.23 × 13,464.82
  4. Step 4: Simplify right side
    19,309.78x = 389,742,311.81
  5. Step 5: Solve for x
    x = 389,742,311.81/19,309.78
  6. Step 6: Final answer
    x = 20,183.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.