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Finding the Fourth Proportional to 14,173.54, 21,264.42 and 5,409.16

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Solution

The fourth proportional to 14,173.54, 21,264.42 and 5,409.16 is: 8,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,173.54 : 21,264.42 = 5,409.16 : x
  2. Step 2: Convert to fraction form
    14,173.54/21,264.42 = 5,409.16/x
  3. Step 3: Cross multiply
    14,173.54x = 21,264.42 × 5,409.16
  4. Step 4: Simplify right side
    14,173.54x = 115,022,650.09
  5. Step 5: Solve for x
    x = 115,022,650.09/14,173.54
  6. Step 6: Final answer
    x = 8,115.31

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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.