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Finding the Fourth Proportional to 11,866.72, 17,699.84 and 11,181.48

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Solution

The fourth proportional to 11,866.72, 17,699.84 and 11,181.48 is: 16,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.72 : 17,699.84 = 11,181.48 : x
  2. Step 2: Convert to fraction form
    11,866.72/17,699.84 = 11,181.48/x
  3. Step 3: Cross multiply
    11,866.72x = 17,699.84 × 11,181.48
  4. Step 4: Simplify right side
    11,866.72x = 197,910,406.96
  5. Step 5: Solve for x
    x = 197,910,406.96/11,866.72
  6. Step 6: Final answer
    x = 16,677.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.