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Finding the Fourth Proportional to 5,713.90, 8,571.56 and 2,790

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Solution

The fourth proportional to 5,713.90, 8,571.56 and 2,790 is: 4,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.90 : 8,571.56 = 2,790 : x
  2. Step 2: Convert to fraction form
    5,713.90/8,571.56 = 2,790/x
  3. Step 3: Cross multiply
    5,713.90x = 8,571.56 × 2,790
  4. Step 4: Simplify right side
    5,713.90x = 23,914,638.45
  5. Step 5: Solve for x
    x = 23,914,638.45/5,713.90
  6. Step 6: Final answer
    x = 4,185.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.