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Finding the Fourth Proportional to 3,186.99, 4,781.43 and 1,725.75

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Solution

The fourth proportional to 3,186.99, 4,781.43 and 1,725.75 is: 2,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.99 : 4,781.43 = 1,725.75 : x
  2. Step 2: Convert to fraction form
    3,186.99/4,781.43 = 1,725.75/x
  3. Step 3: Cross multiply
    3,186.99x = 4,781.43 × 1,725.75
  4. Step 4: Simplify right side
    3,186.99x = 8,251,552.82
  5. Step 5: Solve for x
    x = 8,251,552.82/3,186.99
  6. Step 6: Final answer
    x = 2,589.14

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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.