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Finding the Fourth Proportional to 3,634, 5,016.90 and 2,558.92

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Solution

The fourth proportional to 3,634, 5,016.90 and 2,558.92 is: 3,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634 : 5,016.90 = 2,558.92 : x
  2. Step 2: Convert to fraction form
    3,634/5,016.90 = 2,558.92/x
  3. Step 3: Cross multiply
    3,634x = 5,016.90 × 2,558.92
  4. Step 4: Simplify right side
    3,634x = 12,837,845.75
  5. Step 5: Solve for x
    x = 12,837,845.75/3,634
  6. Step 6: Final answer
    x = 3,532.70

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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.