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Finding the Fourth Proportional to 8,257, 12,382.26 and 3,059.32

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Solution

The fourth proportional to 8,257, 12,382.26 and 3,059.32 is: 4,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257 : 12,382.26 = 3,059.32 : x
  2. Step 2: Convert to fraction form
    8,257/12,382.26 = 3,059.32/x
  3. Step 3: Cross multiply
    8,257x = 12,382.26 × 3,059.32
  4. Step 4: Simplify right side
    8,257x = 37,881,295.66
  5. Step 5: Solve for x
    x = 37,881,295.66/8,257
  6. Step 6: Final answer
    x = 4,587.78

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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.