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Finding the Fourth Proportional to 7,284.78, 10,928.79 and 2,090.26

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Solution

The fourth proportional to 7,284.78, 10,928.79 and 2,090.26 is: 3,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.78 : 10,928.79 = 2,090.26 : x
  2. Step 2: Convert to fraction form
    7,284.78/10,928.79 = 2,090.26/x
  3. Step 3: Cross multiply
    7,284.78x = 10,928.79 × 2,090.26
  4. Step 4: Simplify right side
    7,284.78x = 22,844,012.59
  5. Step 5: Solve for x
    x = 22,844,012.59/7,284.78
  6. Step 6: Final answer
    x = 3,135.85

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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.