Home / 1,781.60-2,449.92-1,584.80

Finding the Fourth Proportional to 1,781.60, 2,449.92 and 1,584.80

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Solution

The fourth proportional to 1,781.60, 2,449.92 and 1,584.80 is: 2,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.60 : 2,449.92 = 1,584.80 : x
  2. Step 2: Convert to fraction form
    1,781.60/2,449.92 = 1,584.80/x
  3. Step 3: Cross multiply
    1,781.60x = 2,449.92 × 1,584.80
  4. Step 4: Simplify right side
    1,781.60x = 3,882,633.22
  5. Step 5: Solve for x
    x = 3,882,633.22/1,781.60
  6. Step 6: Final answer
    x = 2,179.30

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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.