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Finding the Fourth Proportional to 5,457.75, 8,185.73 and 1,947.24

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Solution

The fourth proportional to 5,457.75, 8,185.73 and 1,947.24 is: 2,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.75 : 8,185.73 = 1,947.24 : x
  2. Step 2: Convert to fraction form
    5,457.75/8,185.73 = 1,947.24/x
  3. Step 3: Cross multiply
    5,457.75x = 8,185.73 × 1,947.24
  4. Step 4: Simplify right side
    5,457.75x = 15,939,571.15
  5. Step 5: Solve for x
    x = 15,939,571.15/5,457.75
  6. Step 6: Final answer
    x = 2,920.54

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Double scale
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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.