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Finding the Fourth Proportional to 1,322.63, 1,969.97 and 1,253.24

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Solution

The fourth proportional to 1,322.63, 1,969.97 and 1,253.24 is: 1,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.63 : 1,969.97 = 1,253.24 : x
  2. Step 2: Convert to fraction form
    1,322.63/1,969.97 = 1,253.24/x
  3. Step 3: Cross multiply
    1,322.63x = 1,969.97 × 1,253.24
  4. Step 4: Simplify right side
    1,322.63x = 2,468,829.09
  5. Step 5: Solve for x
    x = 2,468,829.09/1,322.63
  6. Step 6: Final answer
    x = 1,866.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.