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Finding the Fourth Proportional to 4,999, 6,899.10 and 3,135.64

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Solution

The fourth proportional to 4,999, 6,899.10 and 3,135.64 is: 4,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999 : 6,899.10 = 3,135.64 : x
  2. Step 2: Convert to fraction form
    4,999/6,899.10 = 3,135.64/x
  3. Step 3: Cross multiply
    4,999x = 6,899.10 × 3,135.64
  4. Step 4: Simplify right side
    4,999x = 21,633,093.92
  5. Step 5: Solve for x
    x = 21,633,093.92/4,999
  6. Step 6: Final answer
    x = 4,327.48

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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.