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Finding the Fourth Proportional to 5,759, 7,947.42 and 3,275

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Solution

The fourth proportional to 5,759, 7,947.42 and 3,275 is: 4,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759 : 7,947.42 = 3,275 : x
  2. Step 2: Convert to fraction form
    5,759/7,947.42 = 3,275/x
  3. Step 3: Cross multiply
    5,759x = 7,947.42 × 3,275
  4. Step 4: Simplify right side
    5,759x = 26,027,800.50
  5. Step 5: Solve for x
    x = 26,027,800.50/5,759
  6. Step 6: Final answer
    x = 4,519.50

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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.