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Finding the Fourth Proportional to 2,163.78, 2,986.29 and 1,324.89

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Solution

The fourth proportional to 2,163.78, 2,986.29 and 1,324.89 is: 1,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.78 : 2,986.29 = 1,324.89 : x
  2. Step 2: Convert to fraction form
    2,163.78/2,986.29 = 1,324.89/x
  3. Step 3: Cross multiply
    2,163.78x = 2,986.29 × 1,324.89
  4. Step 4: Simplify right side
    2,163.78x = 3,956,505.76
  5. Step 5: Solve for x
    x = 3,956,505.76/2,163.78
  6. Step 6: Final answer
    x = 1,828.52

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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.