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Finding the Fourth Proportional to 11,881.82, 17,822.40 and 6,891.62

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Solution

The fourth proportional to 11,881.82, 17,822.40 and 6,891.62 is: 10,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.82 : 17,822.40 = 6,891.62 : x
  2. Step 2: Convert to fraction form
    11,881.82/17,822.40 = 6,891.62/x
  3. Step 3: Cross multiply
    11,881.82x = 17,822.40 × 6,891.62
  4. Step 4: Simplify right side
    11,881.82x = 122,825,208.29
  5. Step 5: Solve for x
    x = 122,825,208.29/11,881.82
  6. Step 6: Final answer
    x = 10,337.24

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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.