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Finding the Fourth Proportional to 2,971.82, 4,100.74 and 1,645.55

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Solution

The fourth proportional to 2,971.82, 4,100.74 and 1,645.55 is: 2,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.82 : 4,100.74 = 1,645.55 : x
  2. Step 2: Convert to fraction form
    2,971.82/4,100.74 = 1,645.55/x
  3. Step 3: Cross multiply
    2,971.82x = 4,100.74 × 1,645.55
  4. Step 4: Simplify right side
    2,971.82x = 6,747,972.71
  5. Step 5: Solve for x
    x = 6,747,972.71/2,971.82
  6. Step 6: Final answer
    x = 2,270.65

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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.