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Finding the Fourth Proportional to 12,193.75, 18,292.25 and 5,269.87

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Solution

The fourth proportional to 12,193.75, 18,292.25 and 5,269.87 is: 7,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.75 : 18,292.25 = 5,269.87 : x
  2. Step 2: Convert to fraction form
    12,193.75/18,292.25 = 5,269.87/x
  3. Step 3: Cross multiply
    12,193.75x = 18,292.25 × 5,269.87
  4. Step 4: Simplify right side
    12,193.75x = 96,397,779.51
  5. Step 5: Solve for x
    x = 96,397,779.51/12,193.75
  6. Step 6: Final answer
    x = 7,905.51

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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.