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Finding the Fourth Proportional to 2,108.51, 3,162.76 and 809.67

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Solution

The fourth proportional to 2,108.51, 3,162.76 and 809.67 is: 1,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.51 : 3,162.76 = 809.67 : x
  2. Step 2: Convert to fraction form
    2,108.51/3,162.76 = 809.67/x
  3. Step 3: Cross multiply
    2,108.51x = 3,162.76 × 809.67
  4. Step 4: Simplify right side
    2,108.51x = 2,560,789.87
  5. Step 5: Solve for x
    x = 2,560,789.87/2,108.51
  6. Step 6: Final answer
    x = 1,214.51

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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.