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Finding the Fourth Proportional to 4,211.80, 5,812.20 and 2,348.80

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Solution

The fourth proportional to 4,211.80, 5,812.20 and 2,348.80 is: 3,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.80 : 5,812.20 = 2,348.80 : x
  2. Step 2: Convert to fraction form
    4,211.80/5,812.20 = 2,348.80/x
  3. Step 3: Cross multiply
    4,211.80x = 5,812.20 × 2,348.80
  4. Step 4: Simplify right side
    4,211.80x = 13,651,695.36
  5. Step 5: Solve for x
    x = 13,651,695.36/4,211.80
  6. Step 6: Final answer
    x = 3,241.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.