Home / 2,971.25-4,102.19-1,909.49

Finding the Fourth Proportional to 2,971.25, 4,102.19 and 1,909.49

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Solution

The fourth proportional to 2,971.25, 4,102.19 and 1,909.49 is: 2,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.25 : 4,102.19 = 1,909.49 : x
  2. Step 2: Convert to fraction form
    2,971.25/4,102.19 = 1,909.49/x
  3. Step 3: Cross multiply
    2,971.25x = 4,102.19 × 1,909.49
  4. Step 4: Simplify right side
    2,971.25x = 7,833,060.72
  5. Step 5: Solve for x
    x = 7,833,060.72/2,971.25
  6. Step 6: Final answer
    x = 2,636.29

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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.