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Finding the Fourth Proportional to 2,971.92, 4,101.21 and 1,645.62

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Solution

The fourth proportional to 2,971.92, 4,101.21 and 1,645.62 is: 2,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.92 : 4,101.21 = 1,645.62 : x
  2. Step 2: Convert to fraction form
    2,971.92/4,101.21 = 1,645.62/x
  3. Step 3: Cross multiply
    2,971.92x = 4,101.21 × 1,645.62
  4. Step 4: Simplify right side
    2,971.92x = 6,749,033.20
  5. Step 5: Solve for x
    x = 6,749,033.20/2,971.92
  6. Step 6: Final answer
    x = 2,270.93

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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.