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Finding the Fourth Proportional to 2,476.43, 3,714.50 and 832.80

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Solution

The fourth proportional to 2,476.43, 3,714.50 and 832.80 is: 1,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.43 : 3,714.50 = 832.80 : x
  2. Step 2: Convert to fraction form
    2,476.43/3,714.50 = 832.80/x
  3. Step 3: Cross multiply
    2,476.43x = 3,714.50 × 832.80
  4. Step 4: Simplify right side
    2,476.43x = 3,093,437.68
  5. Step 5: Solve for x
    x = 3,093,437.68/2,476.43
  6. Step 6: Final answer
    x = 1,249.15

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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.