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Finding the Fourth Proportional to 2,971.74, 4,101.02 and 1,645.41

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Solution

The fourth proportional to 2,971.74, 4,101.02 and 1,645.41 is: 2,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.74 : 4,101.02 = 1,645.41 : x
  2. Step 2: Convert to fraction form
    2,971.74/4,101.02 = 1,645.41/x
  3. Step 3: Cross multiply
    2,971.74x = 4,101.02 × 1,645.41
  4. Step 4: Simplify right side
    2,971.74x = 6,747,859.32
  5. Step 5: Solve for x
    x = 6,747,859.32/2,971.74
  6. Step 6: Final answer
    x = 2,270.68

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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.