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Finding the Fourth Proportional to 3,873.78, 5,807.41 and 1,680.86

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Solution

The fourth proportional to 3,873.78, 5,807.41 and 1,680.86 is: 2,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.78 : 5,807.41 = 1,680.86 : x
  2. Step 2: Convert to fraction form
    3,873.78/5,807.41 = 1,680.86/x
  3. Step 3: Cross multiply
    3,873.78x = 5,807.41 × 1,680.86
  4. Step 4: Simplify right side
    3,873.78x = 9,761,434.77
  5. Step 5: Solve for x
    x = 9,761,434.77/3,873.78
  6. Step 6: Final answer
    x = 2,519.87

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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.