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Finding the Fourth Proportional to 11,410.86, 15,741.09 and 7,221.54

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Solution

The fourth proportional to 11,410.86, 15,741.09 and 7,221.54 is: 9,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.86 : 15,741.09 = 7,221.54 : x
  2. Step 2: Convert to fraction form
    11,410.86/15,741.09 = 7,221.54/x
  3. Step 3: Cross multiply
    11,410.86x = 15,741.09 × 7,221.54
  4. Step 4: Simplify right side
    11,410.86x = 113,674,911.08
  5. Step 5: Solve for x
    x = 113,674,911.08/11,410.86
  6. Step 6: Final answer
    x = 9,961.99

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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.