Home / 2,107.89-3,161.57-646.65

Finding the Fourth Proportional to 2,107.89, 3,161.57 and 646.65

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Solution

The fourth proportional to 2,107.89, 3,161.57 and 646.65 is: 969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.89 : 3,161.57 = 646.65 : x
  2. Step 2: Convert to fraction form
    2,107.89/3,161.57 = 646.65/x
  3. Step 3: Cross multiply
    2,107.89x = 3,161.57 × 646.65
  4. Step 4: Simplify right side
    2,107.89x = 2,044,426.01
  5. Step 5: Solve for x
    x = 2,044,426.01/2,107.89
  6. Step 6: Final answer
    x = 969.89

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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.