Home / 2,743.40-3,786.14-1,564.86

Finding the Fourth Proportional to 2,743.40, 3,786.14 and 1,564.86

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Solution

The fourth proportional to 2,743.40, 3,786.14 and 1,564.86 is: 2,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.40 : 3,786.14 = 1,564.86 : x
  2. Step 2: Convert to fraction form
    2,743.40/3,786.14 = 1,564.86/x
  3. Step 3: Cross multiply
    2,743.40x = 3,786.14 × 1,564.86
  4. Step 4: Simplify right side
    2,743.40x = 5,924,779.04
  5. Step 5: Solve for x
    x = 5,924,779.04/2,743.40
  6. Step 6: Final answer
    x = 2,159.65

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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.