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Finding the Fourth Proportional to 8,382.50, 12,573.82 and 2,539.58

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Solution

The fourth proportional to 8,382.50, 12,573.82 and 2,539.58 is: 3,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.50 : 12,573.82 = 2,539.58 : x
  2. Step 2: Convert to fraction form
    8,382.50/12,573.82 = 2,539.58/x
  3. Step 3: Cross multiply
    8,382.50x = 12,573.82 × 2,539.58
  4. Step 4: Simplify right side
    8,382.50x = 31,932,221.80
  5. Step 5: Solve for x
    x = 31,932,221.80/8,382.50
  6. Step 6: Final answer
    x = 3,809.39

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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.