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Finding the Fourth Proportional to 11,969.78, 16,522.28 and 6,939.07

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Solution

The fourth proportional to 11,969.78, 16,522.28 and 6,939.07 is: 9,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.78 : 16,522.28 = 6,939.07 : x
  2. Step 2: Convert to fraction form
    11,969.78/16,522.28 = 6,939.07/x
  3. Step 3: Cross multiply
    11,969.78x = 16,522.28 × 6,939.07
  4. Step 4: Simplify right side
    11,969.78x = 114,649,207.50
  5. Step 5: Solve for x
    x = 114,649,207.50/11,969.78
  6. Step 6: Final answer
    x = 9,578.23

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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.