Home / 2,743.40-3,784.32-1,564.26

Finding the Fourth Proportional to 2,743.40, 3,784.32 and 1,564.26

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Solution

The fourth proportional to 2,743.40, 3,784.32 and 1,564.26 is: 2,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.40 : 3,784.32 = 1,564.26 : x
  2. Step 2: Convert to fraction form
    2,743.40/3,784.32 = 1,564.26/x
  3. Step 3: Cross multiply
    2,743.40x = 3,784.32 × 1,564.26
  4. Step 4: Simplify right side
    2,743.40x = 5,919,660.40
  5. Step 5: Solve for x
    x = 5,919,660.40/2,743.40
  6. Step 6: Final answer
    x = 2,157.78

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1.5x scale

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.