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Finding the Fourth Proportional to 13,439.83, 20,163.83 and 5,430.49

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Solution

The fourth proportional to 13,439.83, 20,163.83 and 5,430.49 is: 8,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439.83 : 20,163.83 = 5,430.49 : x
  2. Step 2: Convert to fraction form
    13,439.83/20,163.83 = 5,430.49/x
  3. Step 3: Cross multiply
    13,439.83x = 20,163.83 × 5,430.49
  4. Step 4: Simplify right side
    13,439.83x = 109,499,477.18
  5. Step 5: Solve for x
    x = 109,499,477.18/13,439.83
  6. Step 6: Final answer
    x = 8,147.39

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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.