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Finding the Fourth Proportional to 3,865.86, 5,799.78 and 1,674.06

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Solution

The fourth proportional to 3,865.86, 5,799.78 and 1,674.06 is: 2,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.86 : 5,799.78 = 1,674.06 : x
  2. Step 2: Convert to fraction form
    3,865.86/5,799.78 = 1,674.06/x
  3. Step 3: Cross multiply
    3,865.86x = 5,799.78 × 1,674.06
  4. Step 4: Simplify right side
    3,865.86x = 9,709,179.71
  5. Step 5: Solve for x
    x = 9,709,179.71/3,865.86
  6. Step 6: Final answer
    x = 2,511.52

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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.