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Finding the Fourth Proportional to 11,808.68, 17,709.76 and 3,487.82

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Solution

The fourth proportional to 11,808.68, 17,709.76 and 3,487.82 is: 5,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.68 : 17,709.76 = 3,487.82 : x
  2. Step 2: Convert to fraction form
    11,808.68/17,709.76 = 3,487.82/x
  3. Step 3: Cross multiply
    11,808.68x = 17,709.76 × 3,487.82
  4. Step 4: Simplify right side
    11,808.68x = 61,768,455.12
  5. Step 5: Solve for x
    x = 61,768,455.12/11,808.68
  6. Step 6: Final answer
    x = 5,230.77

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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.