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Finding the Fourth Proportional to 3,869.92, 5,807.20 and 1,678.64

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Solution

The fourth proportional to 3,869.92, 5,807.20 and 1,678.64 is: 2,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.92 : 5,807.20 = 1,678.64 : x
  2. Step 2: Convert to fraction form
    3,869.92/5,807.20 = 1,678.64/x
  3. Step 3: Cross multiply
    3,869.92x = 5,807.20 × 1,678.64
  4. Step 4: Simplify right side
    3,869.92x = 9,748,198.21
  5. Step 5: Solve for x
    x = 9,748,198.21/3,869.92
  6. Step 6: Final answer
    x = 2,518.97

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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.