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Finding the Fourth Proportional to 8,104.75, 12,160.79 and 4,642

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Solution

The fourth proportional to 8,104.75, 12,160.79 and 4,642 is: 6,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.75 : 12,160.79 = 4,642 : x
  2. Step 2: Convert to fraction form
    8,104.75/12,160.79 = 4,642/x
  3. Step 3: Cross multiply
    8,104.75x = 12,160.79 × 4,642
  4. Step 4: Simplify right side
    8,104.75x = 56,450,387.18
  5. Step 5: Solve for x
    x = 56,450,387.18/8,104.75
  6. Step 6: Final answer
    x = 6,965.10

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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.