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Finding the Fourth Proportional to 8,456, 12,683.88 and 3,261.76

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Solution

The fourth proportional to 8,456, 12,683.88 and 3,261.76 is: 4,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456 : 12,683.88 = 3,261.76 : x
  2. Step 2: Convert to fraction form
    8,456/12,683.88 = 3,261.76/x
  3. Step 3: Cross multiply
    8,456x = 12,683.88 × 3,261.76
  4. Step 4: Simplify right side
    8,456x = 41,371,772.43
  5. Step 5: Solve for x
    x = 41,371,772.43/8,456
  6. Step 6: Final answer
    x = 4,892.59

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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.