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Finding the Fourth Proportional to 6,540.54, 9,809.42 and 2,156.95

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Solution

The fourth proportional to 6,540.54, 9,809.42 and 2,156.95 is: 3,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.54 : 9,809.42 = 2,156.95 : x
  2. Step 2: Convert to fraction form
    6,540.54/9,809.42 = 2,156.95/x
  3. Step 3: Cross multiply
    6,540.54x = 9,809.42 × 2,156.95
  4. Step 4: Simplify right side
    6,540.54x = 21,158,417.68
  5. Step 5: Solve for x
    x = 21,158,417.68/6,540.54
  6. Step 6: Final answer
    x = 3,234.97

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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.