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Finding the Fourth Proportional to 8,178.82, 11,286.66 and 4,642

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Solution

The fourth proportional to 8,178.82, 11,286.66 and 4,642 is: 6,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.82 : 11,286.66 = 4,642 : x
  2. Step 2: Convert to fraction form
    8,178.82/11,286.66 = 4,642/x
  3. Step 3: Cross multiply
    8,178.82x = 11,286.66 × 4,642
  4. Step 4: Simplify right side
    8,178.82x = 52,392,675.72
  5. Step 5: Solve for x
    x = 52,392,675.72/8,178.82
  6. Step 6: Final answer
    x = 6,405.90

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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.