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Finding the Fourth Proportional to 3,867.86, 5,799.98 and 1,678.44

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Solution

The fourth proportional to 3,867.86, 5,799.98 and 1,678.44 is: 2,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.86 : 5,799.98 = 1,678.44 : x
  2. Step 2: Convert to fraction form
    3,867.86/5,799.98 = 1,678.44/x
  3. Step 3: Cross multiply
    3,867.86x = 5,799.98 × 1,678.44
  4. Step 4: Simplify right side
    3,867.86x = 9,734,918.43
  5. Step 5: Solve for x
    x = 9,734,918.43/3,867.86
  6. Step 6: Final answer
    x = 2,516.87

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1.5x scale

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.