Home / 2,811.53-3,876.30-2,305.53

Finding the Fourth Proportional to 2,811.53, 3,876.30 and 2,305.53

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Solution

The fourth proportional to 2,811.53, 3,876.30 and 2,305.53 is: 3,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.53 : 3,876.30 = 2,305.53 : x
  2. Step 2: Convert to fraction form
    2,811.53/3,876.30 = 2,305.53/x
  3. Step 3: Cross multiply
    2,811.53x = 3,876.30 × 2,305.53
  4. Step 4: Simplify right side
    2,811.53x = 8,936,925.94
  5. Step 5: Solve for x
    x = 8,936,925.94/2,811.53
  6. Step 6: Final answer
    x = 3,178.67

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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.