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Finding the Fourth Proportional to 11,722.62, 16,178.08 and 7,736.82

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Solution

The fourth proportional to 11,722.62, 16,178.08 and 7,736.82 is: 10,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.62 : 16,178.08 = 7,736.82 : x
  2. Step 2: Convert to fraction form
    11,722.62/16,178.08 = 7,736.82/x
  3. Step 3: Cross multiply
    11,722.62x = 16,178.08 × 7,736.82
  4. Step 4: Simplify right side
    11,722.62x = 125,166,892.91
  5. Step 5: Solve for x
    x = 125,166,892.91/11,722.62
  6. Step 6: Final answer
    x = 10,677.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.