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Finding the Fourth Proportional to 3,789.45, 5,678.78 and 1,478.25

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Solution

The fourth proportional to 3,789.45, 5,678.78 and 1,478.25 is: 2,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.45 : 5,678.78 = 1,478.25 : x
  2. Step 2: Convert to fraction form
    3,789.45/5,678.78 = 1,478.25/x
  3. Step 3: Cross multiply
    3,789.45x = 5,678.78 × 1,478.25
  4. Step 4: Simplify right side
    3,789.45x = 8,394,649.14
  5. Step 5: Solve for x
    x = 8,394,649.14/3,789.45
  6. Step 6: Final answer
    x = 2,215.27

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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.