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Finding the Fourth Proportional to 6,540.89, 9,811.95 and 2,158.39

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Solution

The fourth proportional to 6,540.89, 9,811.95 and 2,158.39 is: 3,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.89 : 9,811.95 = 2,158.39 : x
  2. Step 2: Convert to fraction form
    6,540.89/9,811.95 = 2,158.39/x
  3. Step 3: Cross multiply
    6,540.89x = 9,811.95 × 2,158.39
  4. Step 4: Simplify right side
    6,540.89x = 21,178,014.76
  5. Step 5: Solve for x
    x = 21,178,014.76/6,540.89
  6. Step 6: Final answer
    x = 3,237.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.