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Finding the Fourth Proportional to 8,655.82, 12,980.84 and 2,811

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Solution

The fourth proportional to 8,655.82, 12,980.84 and 2,811 is: 4,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.82 : 12,980.84 = 2,811 : x
  2. Step 2: Convert to fraction form
    8,655.82/12,980.84 = 2,811/x
  3. Step 3: Cross multiply
    8,655.82x = 12,980.84 × 2,811
  4. Step 4: Simplify right side
    8,655.82x = 36,489,141.24
  5. Step 5: Solve for x
    x = 36,489,141.24/8,655.82
  6. Step 6: Final answer
    x = 4,215.56

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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.