Home / 2,285-3,153.54-1,664.36

Finding the Fourth Proportional to 2,285, 3,153.54 and 1,664.36

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Solution

The fourth proportional to 2,285, 3,153.54 and 1,664.36 is: 2,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285 : 3,153.54 = 1,664.36 : x
  2. Step 2: Convert to fraction form
    2,285/3,153.54 = 1,664.36/x
  3. Step 3: Cross multiply
    2,285x = 3,153.54 × 1,664.36
  4. Step 4: Simplify right side
    2,285x = 5,248,625.83
  5. Step 5: Solve for x
    x = 5,248,625.83/2,285
  6. Step 6: Final answer
    x = 2,296.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.