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Finding the Fourth Proportional to 2,971.73, 4,100.93 and 1,645.40

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Solution

The fourth proportional to 2,971.73, 4,100.93 and 1,645.40 is: 2,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.73 : 4,100.93 = 1,645.40 : x
  2. Step 2: Convert to fraction form
    2,971.73/4,100.93 = 1,645.40/x
  3. Step 3: Cross multiply
    2,971.73x = 4,100.93 × 1,645.40
  4. Step 4: Simplify right side
    2,971.73x = 6,747,641.49
  5. Step 5: Solve for x
    x = 6,747,641.49/2,971.73
  6. Step 6: Final answer
    x = 2,270.61

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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.