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Finding the Fourth Proportional to 5,279.70, 7,922.28 and 3,830.81

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Solution

The fourth proportional to 5,279.70, 7,922.28 and 3,830.81 is: 5,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.70 : 7,922.28 = 3,830.81 : x
  2. Step 2: Convert to fraction form
    5,279.70/7,922.28 = 3,830.81/x
  3. Step 3: Cross multiply
    5,279.70x = 7,922.28 × 3,830.81
  4. Step 4: Simplify right side
    5,279.70x = 30,348,749.45
  5. Step 5: Solve for x
    x = 30,348,749.45/5,279.70
  6. Step 6: Final answer
    x = 5,748.20

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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.