Home / 2,743.29-3,785.40-1,564.20

Finding the Fourth Proportional to 2,743.29, 3,785.40 and 1,564.20

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Solution

The fourth proportional to 2,743.29, 3,785.40 and 1,564.20 is: 2,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.29 : 3,785.40 = 1,564.20 : x
  2. Step 2: Convert to fraction form
    2,743.29/3,785.40 = 1,564.20/x
  3. Step 3: Cross multiply
    2,743.29x = 3,785.40 × 1,564.20
  4. Step 4: Simplify right side
    2,743.29x = 5,921,122.68
  5. Step 5: Solve for x
    x = 5,921,122.68/2,743.29
  6. Step 6: Final answer
    x = 2,158.40

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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.