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Finding the Fourth Proportional to 2,514.22, 3,770.91 and 782.71

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Solution

The fourth proportional to 2,514.22, 3,770.91 and 782.71 is: 1,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.22 : 3,770.91 = 782.71 : x
  2. Step 2: Convert to fraction form
    2,514.22/3,770.91 = 782.71/x
  3. Step 3: Cross multiply
    2,514.22x = 3,770.91 × 782.71
  4. Step 4: Simplify right side
    2,514.22x = 2,951,528.97
  5. Step 5: Solve for x
    x = 2,951,528.97/2,514.22
  6. Step 6: Final answer
    x = 1,173.93

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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.