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Finding the Fourth Proportional to 4,193.80, 5,790.98 and 3,081

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Solution

The fourth proportional to 4,193.80, 5,790.98 and 3,081 is: 4,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.80 : 5,790.98 = 3,081 : x
  2. Step 2: Convert to fraction form
    4,193.80/5,790.98 = 3,081/x
  3. Step 3: Cross multiply
    4,193.80x = 5,790.98 × 3,081
  4. Step 4: Simplify right side
    4,193.80x = 17,842,009.38
  5. Step 5: Solve for x
    x = 17,842,009.38/4,193.80
  6. Step 6: Final answer
    x = 4,254.38

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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.