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Finding the Fourth Proportional to 2,775.78, 4,163.67 and 1,044.54

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Solution

The fourth proportional to 2,775.78, 4,163.67 and 1,044.54 is: 1,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.78 : 4,163.67 = 1,044.54 : x
  2. Step 2: Convert to fraction form
    2,775.78/4,163.67 = 1,044.54/x
  3. Step 3: Cross multiply
    2,775.78x = 4,163.67 × 1,044.54
  4. Step 4: Simplify right side
    2,775.78x = 4,349,119.86
  5. Step 5: Solve for x
    x = 4,349,119.86/2,775.78
  6. Step 6: Final answer
    x = 1,566.81

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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.