Home / 3,178.94-4,762.25-1,788.05

Finding the Fourth Proportional to 3,178.94, 4,762.25 and 1,788.05

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Solution

The fourth proportional to 3,178.94, 4,762.25 and 1,788.05 is: 2,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.94 : 4,762.25 = 1,788.05 : x
  2. Step 2: Convert to fraction form
    3,178.94/4,762.25 = 1,788.05/x
  3. Step 3: Cross multiply
    3,178.94x = 4,762.25 × 1,788.05
  4. Step 4: Simplify right side
    3,178.94x = 8,515,121.77
  5. Step 5: Solve for x
    x = 8,515,121.77/3,178.94
  6. Step 6: Final answer
    x = 2,678.61

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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.