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Finding the Fourth Proportional to 11,954.96, 16,497.74 and 6,649.90

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Solution

The fourth proportional to 11,954.96, 16,497.74 and 6,649.90 is: 9,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.96 : 16,497.74 = 6,649.90 : x
  2. Step 2: Convert to fraction form
    11,954.96/16,497.74 = 6,649.90/x
  3. Step 3: Cross multiply
    11,954.96x = 16,497.74 × 6,649.90
  4. Step 4: Simplify right side
    11,954.96x = 109,708,321.23
  5. Step 5: Solve for x
    x = 109,708,321.23/11,954.96
  6. Step 6: Final answer
    x = 9,176.80

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1.5x scale

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.