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Finding the Fourth Proportional to 2,775.60, 3,829.14 and 1,936.80

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Solution

The fourth proportional to 2,775.60, 3,829.14 and 1,936.80 is: 2,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.60 : 3,829.14 = 1,936.80 : x
  2. Step 2: Convert to fraction form
    2,775.60/3,829.14 = 1,936.80/x
  3. Step 3: Cross multiply
    2,775.60x = 3,829.14 × 1,936.80
  4. Step 4: Simplify right side
    2,775.60x = 7,416,278.35
  5. Step 5: Solve for x
    x = 7,416,278.35/2,775.60
  6. Step 6: Final answer
    x = 2,671.96

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1.5x scale

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.