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Finding the Fourth Proportional to 14,382.57, 21,577.11 and 5,619.99

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Solution

The fourth proportional to 14,382.57, 21,577.11 and 5,619.99 is: 8,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.57 : 21,577.11 = 5,619.99 : x
  2. Step 2: Convert to fraction form
    14,382.57/21,577.11 = 5,619.99/x
  3. Step 3: Cross multiply
    14,382.57x = 21,577.11 × 5,619.99
  4. Step 4: Simplify right side
    14,382.57x = 121,263,142.43
  5. Step 5: Solve for x
    x = 121,263,142.43/14,382.57
  6. Step 6: Final answer
    x = 8,431.26

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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.