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Finding the Fourth Proportional to 3,172.87, 4,759.37 and 864.37

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Solution

The fourth proportional to 3,172.87, 4,759.37 and 864.37 is: 1,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.87 : 4,759.37 = 864.37 : x
  2. Step 2: Convert to fraction form
    3,172.87/4,759.37 = 864.37/x
  3. Step 3: Cross multiply
    3,172.87x = 4,759.37 × 864.37
  4. Step 4: Simplify right side
    3,172.87x = 4,113,856.65
  5. Step 5: Solve for x
    x = 4,113,856.65/3,172.87
  6. Step 6: Final answer
    x = 1,296.57

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1.5x scale

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.