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Finding the Fourth Proportional to 3,777.44, 5,661.12 and 1,825.76

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Solution

The fourth proportional to 3,777.44, 5,661.12 and 1,825.76 is: 2,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.44 : 5,661.12 = 1,825.76 : x
  2. Step 2: Convert to fraction form
    3,777.44/5,661.12 = 1,825.76/x
  3. Step 3: Cross multiply
    3,777.44x = 5,661.12 × 1,825.76
  4. Step 4: Simplify right side
    3,777.44x = 10,335,846.45
  5. Step 5: Solve for x
    x = 10,335,846.45/3,777.44
  6. Step 6: Final answer
    x = 2,736.20

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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.