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Finding the Fourth Proportional to 11,761.72, 17,639.04 and 4,739.48

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Solution

The fourth proportional to 11,761.72, 17,639.04 and 4,739.48 is: 7,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.72 : 17,639.04 = 4,739.48 : x
  2. Step 2: Convert to fraction form
    11,761.72/17,639.04 = 4,739.48/x
  3. Step 3: Cross multiply
    11,761.72x = 17,639.04 × 4,739.48
  4. Step 4: Simplify right side
    11,761.72x = 83,599,877.30
  5. Step 5: Solve for x
    x = 83,599,877.30/11,761.72
  6. Step 6: Final answer
    x = 7,107.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.