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Finding the Fourth Proportional to 3,099.56, 4,649.81 and 1,019.09

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Solution

The fourth proportional to 3,099.56, 4,649.81 and 1,019.09 is: 1,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.56 : 4,649.81 = 1,019.09 : x
  2. Step 2: Convert to fraction form
    3,099.56/4,649.81 = 1,019.09/x
  3. Step 3: Cross multiply
    3,099.56x = 4,649.81 × 1,019.09
  4. Step 4: Simplify right side
    3,099.56x = 4,738,554.17
  5. Step 5: Solve for x
    x = 4,738,554.17/3,099.56
  6. Step 6: Final answer
    x = 1,528.79

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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.