Home / 2,743.51-3,785.16-1,564.36

Finding the Fourth Proportional to 2,743.51, 3,785.16 and 1,564.36

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Solution

The fourth proportional to 2,743.51, 3,785.16 and 1,564.36 is: 2,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.51 : 3,785.16 = 1,564.36 : x
  2. Step 2: Convert to fraction form
    2,743.51/3,785.16 = 1,564.36/x
  3. Step 3: Cross multiply
    2,743.51x = 3,785.16 × 1,564.36
  4. Step 4: Simplify right side
    2,743.51x = 5,921,352.90
  5. Step 5: Solve for x
    x = 5,921,352.90/2,743.51
  6. Step 6: Final answer
    x = 2,158.31

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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.