Home / 2,178.86-3,261-2,149.70

Finding the Fourth Proportional to 2,178.86, 3,261 and 2,149.70

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Solution

The fourth proportional to 2,178.86, 3,261 and 2,149.70 is: 3,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.86 : 3,261 = 2,149.70 : x
  2. Step 2: Convert to fraction form
    2,178.86/3,261 = 2,149.70/x
  3. Step 3: Cross multiply
    2,178.86x = 3,261 × 2,149.70
  4. Step 4: Simplify right side
    2,178.86x = 7,010,171.70
  5. Step 5: Solve for x
    x = 7,010,171.70/2,178.86
  6. Step 6: Final answer
    x = 3,217.36

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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.