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Finding the Fourth Proportional to 5,181, 7,149.81 and 2,823.30

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Solution

The fourth proportional to 5,181, 7,149.81 and 2,823.30 is: 3,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181 : 7,149.81 = 2,823.30 : x
  2. Step 2: Convert to fraction form
    5,181/7,149.81 = 2,823.30/x
  3. Step 3: Cross multiply
    5,181x = 7,149.81 × 2,823.30
  4. Step 4: Simplify right side
    5,181x = 20,186,058.57
  5. Step 5: Solve for x
    x = 20,186,058.57/5,181
  6. Step 6: Final answer
    x = 3,896.17

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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.