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Finding the Fourth Proportional to 2,099.81, 3,148.09 and 944.75

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Solution

The fourth proportional to 2,099.81, 3,148.09 and 944.75 is: 1,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.81 : 3,148.09 = 944.75 : x
  2. Step 2: Convert to fraction form
    2,099.81/3,148.09 = 944.75/x
  3. Step 3: Cross multiply
    2,099.81x = 3,148.09 × 944.75
  4. Step 4: Simplify right side
    2,099.81x = 2,974,158.03
  5. Step 5: Solve for x
    x = 2,974,158.03/2,099.81
  6. Step 6: Final answer
    x = 1,416.39

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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.