Home / 2,971.29-4,100.08-1,644.65

Finding the Fourth Proportional to 2,971.29, 4,100.08 and 1,644.65

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Solution

The fourth proportional to 2,971.29, 4,100.08 and 1,644.65 is: 2,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.29 : 4,100.08 = 1,644.65 : x
  2. Step 2: Convert to fraction form
    2,971.29/4,100.08 = 1,644.65/x
  3. Step 3: Cross multiply
    2,971.29x = 4,100.08 × 1,644.65
  4. Step 4: Simplify right side
    2,971.29x = 6,743,171.96
  5. Step 5: Solve for x
    x = 6,743,171.96/2,971.29
  6. Step 6: Final answer
    x = 2,269.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.