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Finding the Fourth Proportional to 5,261.85, 7,261.86 and 3,933.25

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Solution

The fourth proportional to 5,261.85, 7,261.86 and 3,933.25 is: 5,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.85 : 7,261.86 = 3,933.25 : x
  2. Step 2: Convert to fraction form
    5,261.85/7,261.86 = 3,933.25/x
  3. Step 3: Cross multiply
    5,261.85x = 7,261.86 × 3,933.25
  4. Step 4: Simplify right side
    5,261.85x = 28,562,707.44
  5. Step 5: Solve for x
    x = 28,562,707.44/5,261.85
  6. Step 6: Final answer
    x = 5,428.26

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Why These Related Problems?

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