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Finding the Fourth Proportional to 8,485, 11,709.30 and 4,759

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Solution

The fourth proportional to 8,485, 11,709.30 and 4,759 is: 6,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485 : 11,709.30 = 4,759 : x
  2. Step 2: Convert to fraction form
    8,485/11,709.30 = 4,759/x
  3. Step 3: Cross multiply
    8,485x = 11,709.30 × 4,759
  4. Step 4: Simplify right side
    8,485x = 55,724,558.70
  5. Step 5: Solve for x
    x = 55,724,558.70/8,485
  6. Step 6: Final answer
    x = 6,567.42

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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.