Home / 1,286.52-1,935.26-1,166.24

Finding the Fourth Proportional to 1,286.52, 1,935.26 and 1,166.24

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Solution

The fourth proportional to 1,286.52, 1,935.26 and 1,166.24 is: 1,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.52 : 1,935.26 = 1,166.24 : x
  2. Step 2: Convert to fraction form
    1,286.52/1,935.26 = 1,166.24/x
  3. Step 3: Cross multiply
    1,286.52x = 1,935.26 × 1,166.24
  4. Step 4: Simplify right side
    1,286.52x = 2,256,962.11
  5. Step 5: Solve for x
    x = 2,256,962.11/1,286.52
  6. Step 6: Final answer
    x = 1,754.32

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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.