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Finding the Fourth Proportional to 5,950, 8,211 and 4,088.08

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Solution

The fourth proportional to 5,950, 8,211 and 4,088.08 is: 5,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950 : 8,211 = 4,088.08 : x
  2. Step 2: Convert to fraction form
    5,950/8,211 = 4,088.08/x
  3. Step 3: Cross multiply
    5,950x = 8,211 × 4,088.08
  4. Step 4: Simplify right side
    5,950x = 33,567,224.88
  5. Step 5: Solve for x
    x = 33,567,224.88/5,950
  6. Step 6: Final answer
    x = 5,641.55

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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.