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Finding the Fourth Proportional to 13,633.18, 20,446.73 and 5,313.42

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Solution

The fourth proportional to 13,633.18, 20,446.73 and 5,313.42 is: 7,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.18 : 20,446.73 = 5,313.42 : x
  2. Step 2: Convert to fraction form
    13,633.18/20,446.73 = 5,313.42/x
  3. Step 3: Cross multiply
    13,633.18x = 20,446.73 × 5,313.42
  4. Step 4: Simplify right side
    13,633.18x = 108,642,064.12
  5. Step 5: Solve for x
    x = 108,642,064.12/13,633.18
  6. Step 6: Final answer
    x = 7,968.95

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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.