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Finding the Fourth Proportional to 11,940.14, 16,487.34 and 9,961.07

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Solution

The fourth proportional to 11,940.14, 16,487.34 and 9,961.07 is: 13,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.14 : 16,487.34 = 9,961.07 : x
  2. Step 2: Convert to fraction form
    11,940.14/16,487.34 = 9,961.07/x
  3. Step 3: Cross multiply
    11,940.14x = 16,487.34 × 9,961.07
  4. Step 4: Simplify right side
    11,940.14x = 164,231,547.85
  5. Step 5: Solve for x
    x = 164,231,547.85/11,940.14
  6. Step 6: Final answer
    x = 13,754.57

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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.