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Finding the Fourth Proportional to 2,011.75, 3,013.79 and 968.67

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Solution

The fourth proportional to 2,011.75, 3,013.79 and 968.67 is: 1,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.75 : 3,013.79 = 968.67 : x
  2. Step 2: Convert to fraction form
    2,011.75/3,013.79 = 968.67/x
  3. Step 3: Cross multiply
    2,011.75x = 3,013.79 × 968.67
  4. Step 4: Simplify right side
    2,011.75x = 2,919,367.96
  5. Step 5: Solve for x
    x = 2,919,367.96/2,011.75
  6. Step 6: Final answer
    x = 1,451.16

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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.