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Finding the Fourth Proportional to 8,562, 12,829.96 and 6,102

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Solution

The fourth proportional to 8,562, 12,829.96 and 6,102 is: 9,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562 : 12,829.96 = 6,102 : x
  2. Step 2: Convert to fraction form
    8,562/12,829.96 = 6,102/x
  3. Step 3: Cross multiply
    8,562x = 12,829.96 × 6,102
  4. Step 4: Simplify right side
    8,562x = 78,288,415.92
  5. Step 5: Solve for x
    x = 78,288,415.92/8,562
  6. Step 6: Final answer
    x = 9,143.71

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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.