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Finding the Fourth Proportional to 3,920.64, 5,886.17 and 2,278.37

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Solution

The fourth proportional to 3,920.64, 5,886.17 and 2,278.37 is: 3,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.64 : 5,886.17 = 2,278.37 : x
  2. Step 2: Convert to fraction form
    3,920.64/5,886.17 = 2,278.37/x
  3. Step 3: Cross multiply
    3,920.64x = 5,886.17 × 2,278.37
  4. Step 4: Simplify right side
    3,920.64x = 13,410,849.41
  5. Step 5: Solve for x
    x = 13,410,849.41/3,920.64
  6. Step 6: Final answer
    x = 3,420.58

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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.