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Finding the Fourth Proportional to 12,771.75, 17,622.37 and 7,465.54

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Solution

The fourth proportional to 12,771.75, 17,622.37 and 7,465.54 is: 10,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.75 : 17,622.37 = 7,465.54 : x
  2. Step 2: Convert to fraction form
    12,771.75/17,622.37 = 7,465.54/x
  3. Step 3: Cross multiply
    12,771.75x = 17,622.37 × 7,465.54
  4. Step 4: Simplify right side
    12,771.75x = 131,560,401.35
  5. Step 5: Solve for x
    x = 131,560,401.35/12,771.75
  6. Step 6: Final answer
    x = 10,300.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.