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Finding the Fourth Proportional to 8,235.73, 12,356.34 and 2,689.30

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Solution

The fourth proportional to 8,235.73, 12,356.34 and 2,689.30 is: 4,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.73 : 12,356.34 = 2,689.30 : x
  2. Step 2: Convert to fraction form
    8,235.73/12,356.34 = 2,689.30/x
  3. Step 3: Cross multiply
    8,235.73x = 12,356.34 × 2,689.30
  4. Step 4: Simplify right side
    8,235.73x = 33,229,905.16
  5. Step 5: Solve for x
    x = 33,229,905.16/8,235.73
  6. Step 6: Final answer
    x = 4,034.85

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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.