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Finding the Fourth Proportional to 5,279.81, 7,922.47 and 3,830.92

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Solution

The fourth proportional to 5,279.81, 7,922.47 and 3,830.92 is: 5,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.81 : 7,922.47 = 3,830.92 : x
  2. Step 2: Convert to fraction form
    5,279.81/7,922.47 = 3,830.92/x
  3. Step 3: Cross multiply
    5,279.81x = 7,922.47 × 3,830.92
  4. Step 4: Simplify right side
    5,279.81x = 30,350,348.77
  5. Step 5: Solve for x
    x = 30,350,348.77/5,279.81
  6. Step 6: Final answer
    x = 5,748.38

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1.5x scale

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.