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Finding the Fourth Proportional to 11,856.59, 17,784.89 and 3,091.48

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Solution

The fourth proportional to 11,856.59, 17,784.89 and 3,091.48 is: 4,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.59 : 17,784.89 = 3,091.48 : x
  2. Step 2: Convert to fraction form
    11,856.59/17,784.89 = 3,091.48/x
  3. Step 3: Cross multiply
    11,856.59x = 17,784.89 × 3,091.48
  4. Step 4: Simplify right side
    11,856.59x = 54,981,676.20
  5. Step 5: Solve for x
    x = 54,981,676.20/11,856.59
  6. Step 6: Final answer
    x = 4,637.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.