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Finding the Fourth Proportional to 2,163.77, 2,986.02 and 1,267.31

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Solution

The fourth proportional to 2,163.77, 2,986.02 and 1,267.31 is: 1,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.77 : 2,986.02 = 1,267.31 : x
  2. Step 2: Convert to fraction form
    2,163.77/2,986.02 = 1,267.31/x
  3. Step 3: Cross multiply
    2,163.77x = 2,986.02 × 1,267.31
  4. Step 4: Simplify right side
    2,163.77x = 3,784,222.22
  5. Step 5: Solve for x
    x = 3,784,222.22/2,163.77
  6. Step 6: Final answer
    x = 1,748.90

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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.