Home / 1,267.26-1,902.57-1,105.02

Finding the Fourth Proportional to 1,267.26, 1,902.57 and 1,105.02

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Solution

The fourth proportional to 1,267.26, 1,902.57 and 1,105.02 is: 1,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.26 : 1,902.57 = 1,105.02 : x
  2. Step 2: Convert to fraction form
    1,267.26/1,902.57 = 1,105.02/x
  3. Step 3: Cross multiply
    1,267.26x = 1,902.57 × 1,105.02
  4. Step 4: Simplify right side
    1,267.26x = 2,102,377.90
  5. Step 5: Solve for x
    x = 2,102,377.90/1,267.26
  6. Step 6: Final answer
    x = 1,658.99

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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.