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Finding the Fourth Proportional to 2,109.54, 3,162.29 and 1,929.09

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Solution

The fourth proportional to 2,109.54, 3,162.29 and 1,929.09 is: 2,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.54 : 3,162.29 = 1,929.09 : x
  2. Step 2: Convert to fraction form
    2,109.54/3,162.29 = 1,929.09/x
  3. Step 3: Cross multiply
    2,109.54x = 3,162.29 × 1,929.09
  4. Step 4: Simplify right side
    2,109.54x = 6,100,332.37
  5. Step 5: Solve for x
    x = 6,100,332.37/2,109.54
  6. Step 6: Final answer
    x = 2,891.78

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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.