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Finding the Fourth Proportional to 11,462, 15,817.80 and 6,494

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Solution

The fourth proportional to 11,462, 15,817.80 and 6,494 is: 8,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462 : 15,817.80 = 6,494 : x
  2. Step 2: Convert to fraction form
    11,462/15,817.80 = 6,494/x
  3. Step 3: Cross multiply
    11,462x = 15,817.80 × 6,494
  4. Step 4: Simplify right side
    11,462x = 102,720,793.20
  5. Step 5: Solve for x
    x = 102,720,793.20/11,462
  6. Step 6: Final answer
    x = 8,961.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.