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Finding the Fourth Proportional to 7,074.26, 9,762.78 and 3,930.44

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Solution

The fourth proportional to 7,074.26, 9,762.78 and 3,930.44 is: 5,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.26 : 9,762.78 = 3,930.44 : x
  2. Step 2: Convert to fraction form
    7,074.26/9,762.78 = 3,930.44/x
  3. Step 3: Cross multiply
    7,074.26x = 9,762.78 × 3,930.44
  4. Step 4: Simplify right side
    7,074.26x = 38,372,021.02
  5. Step 5: Solve for x
    x = 38,372,021.02/7,074.26
  6. Step 6: Final answer
    x = 5,424.17

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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.