Home / 2,786.32-4,178.36-1,142.80

Finding the Fourth Proportional to 2,786.32, 4,178.36 and 1,142.80

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Solution

The fourth proportional to 2,786.32, 4,178.36 and 1,142.80 is: 1,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.32 : 4,178.36 = 1,142.80 : x
  2. Step 2: Convert to fraction form
    2,786.32/4,178.36 = 1,142.80/x
  3. Step 3: Cross multiply
    2,786.32x = 4,178.36 × 1,142.80
  4. Step 4: Simplify right side
    2,786.32x = 4,775,029.81
  5. Step 5: Solve for x
    x = 4,775,029.81/2,786.32
  6. Step 6: Final answer
    x = 1,713.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.