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Finding the Fourth Proportional to 3,830.60, 5,747.32 and 1,980.56

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Solution

The fourth proportional to 3,830.60, 5,747.32 and 1,980.56 is: 2,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.60 : 5,747.32 = 1,980.56 : x
  2. Step 2: Convert to fraction form
    3,830.60/5,747.32 = 1,980.56/x
  3. Step 3: Cross multiply
    3,830.60x = 5,747.32 × 1,980.56
  4. Step 4: Simplify right side
    3,830.60x = 11,382,928.94
  5. Step 5: Solve for x
    x = 11,382,928.94/3,830.60
  6. Step 6: Final answer
    x = 2,971.58

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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.