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Finding the Fourth Proportional to 2,971.63, 4,100.89 and 1,645.34

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Solution

The fourth proportional to 2,971.63, 4,100.89 and 1,645.34 is: 2,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.63 : 4,100.89 = 1,645.34 : x
  2. Step 2: Convert to fraction form
    2,971.63/4,100.89 = 1,645.34/x
  3. Step 3: Cross multiply
    2,971.63x = 4,100.89 × 1,645.34
  4. Step 4: Simplify right side
    2,971.63x = 6,747,337.85
  5. Step 5: Solve for x
    x = 6,747,337.85/2,971.63
  6. Step 6: Final answer
    x = 2,270.58

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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.