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Finding the Fourth Proportional to 7,284.70, 10,930.26 and 3,821.14

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Solution

The fourth proportional to 7,284.70, 10,930.26 and 3,821.14 is: 5,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.70 : 10,930.26 = 3,821.14 : x
  2. Step 2: Convert to fraction form
    7,284.70/10,930.26 = 3,821.14/x
  3. Step 3: Cross multiply
    7,284.70x = 10,930.26 × 3,821.14
  4. Step 4: Simplify right side
    7,284.70x = 41,766,053.70
  5. Step 5: Solve for x
    x = 41,766,053.70/7,284.70
  6. Step 6: Final answer
    x = 5,733.39

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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.