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Finding the Fourth Proportional to 3,874.64, 5,819.88 and 2,560.28

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Solution

The fourth proportional to 3,874.64, 5,819.88 and 2,560.28 is: 3,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.64 : 5,819.88 = 2,560.28 : x
  2. Step 2: Convert to fraction form
    3,874.64/5,819.88 = 2,560.28/x
  3. Step 3: Cross multiply
    3,874.64x = 5,819.88 × 2,560.28
  4. Step 4: Simplify right side
    3,874.64x = 14,900,522.37
  5. Step 5: Solve for x
    x = 14,900,522.37/3,874.64
  6. Step 6: Final answer
    x = 3,845.65

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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.