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Finding the Fourth Proportional to 3,787, 5,222.70 and 2,459.44

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Solution

The fourth proportional to 3,787, 5,222.70 and 2,459.44 is: 3,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787 : 5,222.70 = 2,459.44 : x
  2. Step 2: Convert to fraction form
    3,787/5,222.70 = 2,459.44/x
  3. Step 3: Cross multiply
    3,787x = 5,222.70 × 2,459.44
  4. Step 4: Simplify right side
    3,787x = 12,844,917.29
  5. Step 5: Solve for x
    x = 12,844,917.29/3,787
  6. Step 6: Final answer
    x = 3,391.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.