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Finding the Fourth Proportional to 11,659.83, 16,090.65 and 6,879.87

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Solution

The fourth proportional to 11,659.83, 16,090.65 and 6,879.87 is: 9,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.83 : 16,090.65 = 6,879.87 : x
  2. Step 2: Convert to fraction form
    11,659.83/16,090.65 = 6,879.87/x
  3. Step 3: Cross multiply
    11,659.83x = 16,090.65 × 6,879.87
  4. Step 4: Simplify right side
    11,659.83x = 110,701,580.22
  5. Step 5: Solve for x
    x = 110,701,580.22/11,659.83
  6. Step 6: Final answer
    x = 9,494.27

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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.