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Finding the Fourth Proportional to 3,161.47, 4,741.49 and 1,775.42

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Solution

The fourth proportional to 3,161.47, 4,741.49 and 1,775.42 is: 2,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.47 : 4,741.49 = 1,775.42 : x
  2. Step 2: Convert to fraction form
    3,161.47/4,741.49 = 1,775.42/x
  3. Step 3: Cross multiply
    3,161.47x = 4,741.49 × 1,775.42
  4. Step 4: Simplify right side
    3,161.47x = 8,418,127.30
  5. Step 5: Solve for x
    x = 8,418,127.30/3,161.47
  6. Step 6: Final answer
    x = 2,662.73

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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.