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Finding the Fourth Proportional to 2,514.09, 3,770.96 and 782.67

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Solution

The fourth proportional to 2,514.09, 3,770.96 and 782.67 is: 1,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.09 : 3,770.96 = 782.67 : x
  2. Step 2: Convert to fraction form
    2,514.09/3,770.96 = 782.67/x
  3. Step 3: Cross multiply
    2,514.09x = 3,770.96 × 782.67
  4. Step 4: Simplify right side
    2,514.09x = 2,951,413.35
  5. Step 5: Solve for x
    x = 2,951,413.35/2,514.09
  6. Step 6: Final answer
    x = 1,173.95

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1.5x scale

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.