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Finding the Fourth Proportional to 3,478.97, 4,798.19 and 3,058.43

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Solution

The fourth proportional to 3,478.97, 4,798.19 and 3,058.43 is: 4,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.97 : 4,798.19 = 3,058.43 : x
  2. Step 2: Convert to fraction form
    3,478.97/4,798.19 = 3,058.43/x
  3. Step 3: Cross multiply
    3,478.97x = 4,798.19 × 3,058.43
  4. Step 4: Simplify right side
    3,478.97x = 14,674,912.95
  5. Step 5: Solve for x
    x = 14,674,912.95/3,478.97
  6. Step 6: Final answer
    x = 4,218.18

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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.