Home / 2,102.40-3,164.56-1,785.28

Finding the Fourth Proportional to 2,102.40, 3,164.56 and 1,785.28

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Solution

The fourth proportional to 2,102.40, 3,164.56 and 1,785.28 is: 2,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.40 : 3,164.56 = 1,785.28 : x
  2. Step 2: Convert to fraction form
    2,102.40/3,164.56 = 1,785.28/x
  3. Step 3: Cross multiply
    2,102.40x = 3,164.56 × 1,785.28
  4. Step 4: Simplify right side
    2,102.40x = 5,649,616.75
  5. Step 5: Solve for x
    x = 5,649,616.75/2,102.40
  6. Step 6: Final answer
    x = 2,687.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.