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Finding the Fourth Proportional to 11,857.75, 17,784.34 and 5,530.88

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Solution

The fourth proportional to 11,857.75, 17,784.34 and 5,530.88 is: 8,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.75 : 17,784.34 = 5,530.88 : x
  2. Step 2: Convert to fraction form
    11,857.75/17,784.34 = 5,530.88/x
  3. Step 3: Cross multiply
    11,857.75x = 17,784.34 × 5,530.88
  4. Step 4: Simplify right side
    11,857.75x = 98,363,112.16
  5. Step 5: Solve for x
    x = 98,363,112.16/11,857.75
  6. Step 6: Final answer
    x = 8,295.26

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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.