Home / 2,511.92-3,766.44-780.08

Finding the Fourth Proportional to 2,511.92, 3,766.44 and 780.08

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Solution

The fourth proportional to 2,511.92, 3,766.44 and 780.08 is: 1,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.92 : 3,766.44 = 780.08 : x
  2. Step 2: Convert to fraction form
    2,511.92/3,766.44 = 780.08/x
  3. Step 3: Cross multiply
    2,511.92x = 3,766.44 × 780.08
  4. Step 4: Simplify right side
    2,511.92x = 2,938,124.52
  5. Step 5: Solve for x
    x = 2,938,124.52/2,511.92
  6. Step 6: Final answer
    x = 1,169.67

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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.