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Finding the Fourth Proportional to 14,409.30, 21,605.31 and 5,633.76

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Solution

The fourth proportional to 14,409.30, 21,605.31 and 5,633.76 is: 8,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.30 : 21,605.31 = 5,633.76 : x
  2. Step 2: Convert to fraction form
    14,409.30/21,605.31 = 5,633.76/x
  3. Step 3: Cross multiply
    14,409.30x = 21,605.31 × 5,633.76
  4. Step 4: Simplify right side
    14,409.30x = 121,719,131.27
  5. Step 5: Solve for x
    x = 121,719,131.27/14,409.30
  6. Step 6: Final answer
    x = 8,447.26

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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.