Home / 2,107.69-3,162.08-809.26

Finding the Fourth Proportional to 2,107.69, 3,162.08 and 809.26

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Solution

The fourth proportional to 2,107.69, 3,162.08 and 809.26 is: 1,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.69 : 3,162.08 = 809.26 : x
  2. Step 2: Convert to fraction form
    2,107.69/3,162.08 = 809.26/x
  3. Step 3: Cross multiply
    2,107.69x = 3,162.08 × 809.26
  4. Step 4: Simplify right side
    2,107.69x = 2,558,940.81
  5. Step 5: Solve for x
    x = 2,558,940.81/2,107.69
  6. Step 6: Final answer
    x = 1,214.10

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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.