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Finding the Fourth Proportional to 11,691.56, 16,128.36 and 7,914.86

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Solution

The fourth proportional to 11,691.56, 16,128.36 and 7,914.86 is: 10,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.56 : 16,128.36 = 7,914.86 : x
  2. Step 2: Convert to fraction form
    11,691.56/16,128.36 = 7,914.86/x
  3. Step 3: Cross multiply
    11,691.56x = 16,128.36 × 7,914.86
  4. Step 4: Simplify right side
    11,691.56x = 127,653,711.43
  5. Step 5: Solve for x
    x = 127,653,711.43/11,691.56
  6. Step 6: Final answer
    x = 10,918.45

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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.