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Finding the Fourth Proportional to 5,189, 7,783.46 and 1,491.26

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Solution

The fourth proportional to 5,189, 7,783.46 and 1,491.26 is: 2,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189 : 7,783.46 = 1,491.26 : x
  2. Step 2: Convert to fraction form
    5,189/7,783.46 = 1,491.26/x
  3. Step 3: Cross multiply
    5,189x = 7,783.46 × 1,491.26
  4. Step 4: Simplify right side
    5,189x = 11,607,162.56
  5. Step 5: Solve for x
    x = 11,607,162.56/5,189
  6. Step 6: Final answer
    x = 2,236.88

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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.