Home / 2,743.47-3,785.64-1,564.31

Finding the Fourth Proportional to 2,743.47, 3,785.64 and 1,564.31

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Solution

The fourth proportional to 2,743.47, 3,785.64 and 1,564.31 is: 2,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.47 : 3,785.64 = 1,564.31 : x
  2. Step 2: Convert to fraction form
    2,743.47/3,785.64 = 1,564.31/x
  3. Step 3: Cross multiply
    2,743.47x = 3,785.64 × 1,564.31
  4. Step 4: Simplify right side
    2,743.47x = 5,921,918.11
  5. Step 5: Solve for x
    x = 5,921,918.11/2,743.47
  6. Step 6: Final answer
    x = 2,158.55

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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.