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Finding the Fourth Proportional to 3,899.54, 5,382.65 and 3,104.32

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Solution

The fourth proportional to 3,899.54, 5,382.65 and 3,104.32 is: 4,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.54 : 5,382.65 = 3,104.32 : x
  2. Step 2: Convert to fraction form
    3,899.54/5,382.65 = 3,104.32/x
  3. Step 3: Cross multiply
    3,899.54x = 5,382.65 × 3,104.32
  4. Step 4: Simplify right side
    3,899.54x = 16,709,468.05
  5. Step 5: Solve for x
    x = 16,709,468.05/3,899.54
  6. Step 6: Final answer
    x = 4,284.98

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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.