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Finding the Fourth Proportional to 8,261.83, 11,401.34 and 4,485

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Solution

The fourth proportional to 8,261.83, 11,401.34 and 4,485 is: 6,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.83 : 11,401.34 = 4,485 : x
  2. Step 2: Convert to fraction form
    8,261.83/11,401.34 = 4,485/x
  3. Step 3: Cross multiply
    8,261.83x = 11,401.34 × 4,485
  4. Step 4: Simplify right side
    8,261.83x = 51,135,009.90
  5. Step 5: Solve for x
    x = 51,135,009.90/8,261.83
  6. Step 6: Final answer
    x = 6,189.31

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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.