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Finding the Fourth Proportional to 11,755.32, 16,221.16 and 7,039.48

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Solution

The fourth proportional to 11,755.32, 16,221.16 and 7,039.48 is: 9,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.32 : 16,221.16 = 7,039.48 : x
  2. Step 2: Convert to fraction form
    11,755.32/16,221.16 = 7,039.48/x
  3. Step 3: Cross multiply
    11,755.32x = 16,221.16 × 7,039.48
  4. Step 4: Simplify right side
    11,755.32x = 114,188,531.40
  5. Step 5: Solve for x
    x = 114,188,531.40/11,755.32
  6. Step 6: Final answer
    x = 9,713.77

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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.