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Finding the Fourth Proportional to 14,174.25, 21,261.57 and 5,409.64

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Solution

The fourth proportional to 14,174.25, 21,261.57 and 5,409.64 is: 8,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.25 : 21,261.57 = 5,409.64 : x
  2. Step 2: Convert to fraction form
    14,174.25/21,261.57 = 5,409.64/x
  3. Step 3: Cross multiply
    14,174.25x = 21,261.57 × 5,409.64
  4. Step 4: Simplify right side
    14,174.25x = 115,017,439.53
  5. Step 5: Solve for x
    x = 115,017,439.53/14,174.25
  6. Step 6: Final answer
    x = 8,114.53

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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.