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Finding the Fourth Proportional to 11,857.59, 17,785.17 and 3,091.77

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Solution

The fourth proportional to 11,857.59, 17,785.17 and 3,091.77 is: 4,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.59 : 17,785.17 = 3,091.77 : x
  2. Step 2: Convert to fraction form
    11,857.59/17,785.17 = 3,091.77/x
  3. Step 3: Cross multiply
    11,857.59x = 17,785.17 × 3,091.77
  4. Step 4: Simplify right side
    11,857.59x = 54,987,655.05
  5. Step 5: Solve for x
    x = 54,987,655.05/11,857.59
  6. Step 6: Final answer
    x = 4,637.34

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1.5x scale

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.