Home / 2,107.13-3,161.70-809.51

Finding the Fourth Proportional to 2,107.13, 3,161.70 and 809.51

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Solution

The fourth proportional to 2,107.13, 3,161.70 and 809.51 is: 1,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.13 : 3,161.70 = 809.51 : x
  2. Step 2: Convert to fraction form
    2,107.13/3,161.70 = 809.51/x
  3. Step 3: Cross multiply
    2,107.13x = 3,161.70 × 809.51
  4. Step 4: Simplify right side
    2,107.13x = 2,559,411.96
  5. Step 5: Solve for x
    x = 2,559,411.96/2,107.13
  6. Step 6: Final answer
    x = 1,214.65

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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.