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Finding the Fourth Proportional to 11,610.86, 16,027.89 and 7,839.13

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Solution

The fourth proportional to 11,610.86, 16,027.89 and 7,839.13 is: 10,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.86 : 16,027.89 = 7,839.13 : x
  2. Step 2: Convert to fraction form
    11,610.86/16,027.89 = 7,839.13/x
  3. Step 3: Cross multiply
    11,610.86x = 16,027.89 × 7,839.13
  4. Step 4: Simplify right side
    11,610.86x = 125,644,674.14
  5. Step 5: Solve for x
    x = 125,644,674.14/11,610.86
  6. Step 6: Final answer
    x = 10,821.31

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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.