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Finding the Fourth Proportional to 8,361, 11,539.98 and 5,004.56

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Solution

The fourth proportional to 8,361, 11,539.98 and 5,004.56 is: 6,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361 : 11,539.98 = 5,004.56 : x
  2. Step 2: Convert to fraction form
    8,361/11,539.98 = 5,004.56/x
  3. Step 3: Cross multiply
    8,361x = 11,539.98 × 5,004.56
  4. Step 4: Simplify right side
    8,361x = 57,752,551.16
  5. Step 5: Solve for x
    x = 57,752,551.16/8,361
  6. Step 6: Final answer
    x = 6,907.37

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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.