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Finding the Fourth Proportional to 5,668.20, 7,822.42 and 3,311.72

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Solution

The fourth proportional to 5,668.20, 7,822.42 and 3,311.72 is: 4,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.20 : 7,822.42 = 3,311.72 : x
  2. Step 2: Convert to fraction form
    5,668.20/7,822.42 = 3,311.72/x
  3. Step 3: Cross multiply
    5,668.20x = 7,822.42 × 3,311.72
  4. Step 4: Simplify right side
    5,668.20x = 25,905,664.76
  5. Step 5: Solve for x
    x = 25,905,664.76/5,668.20
  6. Step 6: Final answer
    x = 4,570.35

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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.