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Finding the Fourth Proportional to 7,771.74, 11,653.29 and 3,149.34

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Solution

The fourth proportional to 7,771.74, 11,653.29 and 3,149.34 is: 4,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.74 : 11,653.29 = 3,149.34 : x
  2. Step 2: Convert to fraction form
    7,771.74/11,653.29 = 3,149.34/x
  3. Step 3: Cross multiply
    7,771.74x = 11,653.29 × 3,149.34
  4. Step 4: Simplify right side
    7,771.74x = 36,700,172.33
  5. Step 5: Solve for x
    x = 36,700,172.33/7,771.74
  6. Step 6: Final answer
    x = 4,722.26

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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.