Home / 1,317.84-1,976.04-1,086

Finding the Fourth Proportional to 1,317.84, 1,976.04 and 1,086

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Solution

The fourth proportional to 1,317.84, 1,976.04 and 1,086 is: 1,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.84 : 1,976.04 = 1,086 : x
  2. Step 2: Convert to fraction form
    1,317.84/1,976.04 = 1,086/x
  3. Step 3: Cross multiply
    1,317.84x = 1,976.04 × 1,086
  4. Step 4: Simplify right side
    1,317.84x = 2,145,979.44
  5. Step 5: Solve for x
    x = 2,145,979.44/1,317.84
  6. Step 6: Final answer
    x = 1,628.41

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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.