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Finding the Fourth Proportional to 3,488.66, 5,228.73 and 1,928.60

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Solution

The fourth proportional to 3,488.66, 5,228.73 and 1,928.60 is: 2,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.66 : 5,228.73 = 1,928.60 : x
  2. Step 2: Convert to fraction form
    3,488.66/5,228.73 = 1,928.60/x
  3. Step 3: Cross multiply
    3,488.66x = 5,228.73 × 1,928.60
  4. Step 4: Simplify right side
    3,488.66x = 10,084,128.68
  5. Step 5: Solve for x
    x = 10,084,128.68/3,488.66
  6. Step 6: Final answer
    x = 2,890.54

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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.