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Finding the Fourth Proportional to 3,876, 5,814.30 and 2,655.53

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Solution

The fourth proportional to 3,876, 5,814.30 and 2,655.53 is: 3,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876 : 5,814.30 = 2,655.53 : x
  2. Step 2: Convert to fraction form
    3,876/5,814.30 = 2,655.53/x
  3. Step 3: Cross multiply
    3,876x = 5,814.30 × 2,655.53
  4. Step 4: Simplify right side
    3,876x = 15,440,048.08
  5. Step 5: Solve for x
    x = 15,440,048.08/3,876
  6. Step 6: Final answer
    x = 3,983.50

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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.