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Finding the Fourth Proportional to 3,953.89, 5,450.09 and 3,113.26

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Solution

The fourth proportional to 3,953.89, 5,450.09 and 3,113.26 is: 4,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.89 : 5,450.09 = 3,113.26 : x
  2. Step 2: Convert to fraction form
    3,953.89/5,450.09 = 3,113.26/x
  3. Step 3: Cross multiply
    3,953.89x = 5,450.09 × 3,113.26
  4. Step 4: Simplify right side
    3,953.89x = 16,967,531.63
  5. Step 5: Solve for x
    x = 16,967,531.63/3,953.89
  6. Step 6: Final answer
    x = 4,291.35

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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.