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Finding the Fourth Proportional to 2,163.68, 2,986.10 and 1,324.89

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Solution

The fourth proportional to 2,163.68, 2,986.10 and 1,324.89 is: 1,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.68 : 2,986.10 = 1,324.89 : x
  2. Step 2: Convert to fraction form
    2,163.68/2,986.10 = 1,324.89/x
  3. Step 3: Cross multiply
    2,163.68x = 2,986.10 × 1,324.89
  4. Step 4: Simplify right side
    2,163.68x = 3,956,252.37
  5. Step 5: Solve for x
    x = 3,956,252.37/2,163.68
  6. Step 6: Final answer
    x = 1,828.48

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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.