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Finding the Fourth Proportional to 2,857, 3,939.30 and 1,923.88

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Solution

The fourth proportional to 2,857, 3,939.30 and 1,923.88 is: 2,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857 : 3,939.30 = 1,923.88 : x
  2. Step 2: Convert to fraction form
    2,857/3,939.30 = 1,923.88/x
  3. Step 3: Cross multiply
    2,857x = 3,939.30 × 1,923.88
  4. Step 4: Simplify right side
    2,857x = 7,578,740.48
  5. Step 5: Solve for x
    x = 7,578,740.48/2,857
  6. Step 6: Final answer
    x = 2,652.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.