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Finding the Fourth Proportional to 11,953.96, 16,496.42 and 6,649

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Solution

The fourth proportional to 11,953.96, 16,496.42 and 6,649 is: 9,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.96 : 16,496.42 = 6,649 : x
  2. Step 2: Convert to fraction form
    11,953.96/16,496.42 = 6,649/x
  3. Step 3: Cross multiply
    11,953.96x = 16,496.42 × 6,649
  4. Step 4: Simplify right side
    11,953.96x = 109,684,696.58
  5. Step 5: Solve for x
    x = 109,684,696.58/11,953.96
  6. Step 6: Final answer
    x = 9,175.60

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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.