Home / 2,743.80-3,786.54-1,564.68

Finding the Fourth Proportional to 2,743.80, 3,786.54 and 1,564.68

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Solution

The fourth proportional to 2,743.80, 3,786.54 and 1,564.68 is: 2,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.80 : 3,786.54 = 1,564.68 : x
  2. Step 2: Convert to fraction form
    2,743.80/3,786.54 = 1,564.68/x
  3. Step 3: Cross multiply
    2,743.80x = 3,786.54 × 1,564.68
  4. Step 4: Simplify right side
    2,743.80x = 5,924,723.41
  5. Step 5: Solve for x
    x = 5,924,723.41/2,743.80
  6. Step 6: Final answer
    x = 2,159.31

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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.