Home / 2,148.73-3,218.83-1,416.09

Finding the Fourth Proportional to 2,148.73, 3,218.83 and 1,416.09

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Solution

The fourth proportional to 2,148.73, 3,218.83 and 1,416.09 is: 2,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.73 : 3,218.83 = 1,416.09 : x
  2. Step 2: Convert to fraction form
    2,148.73/3,218.83 = 1,416.09/x
  3. Step 3: Cross multiply
    2,148.73x = 3,218.83 × 1,416.09
  4. Step 4: Simplify right side
    2,148.73x = 4,558,129.80
  5. Step 5: Solve for x
    x = 4,558,129.80/2,148.73
  6. Step 6: Final answer
    x = 2,121.31

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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.