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Finding the Fourth Proportional to 3,058.68, 4,221 and 1,661.43

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Solution

The fourth proportional to 3,058.68, 4,221 and 1,661.43 is: 2,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.68 : 4,221 = 1,661.43 : x
  2. Step 2: Convert to fraction form
    3,058.68/4,221 = 1,661.43/x
  3. Step 3: Cross multiply
    3,058.68x = 4,221 × 1,661.43
  4. Step 4: Simplify right side
    3,058.68x = 7,012,896.03
  5. Step 5: Solve for x
    x = 7,012,896.03/3,058.68
  6. Step 6: Final answer
    x = 2,292.79

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1.5x scale

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.