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Finding the Fourth Proportional to 11,989.82, 16,546 and 7,212.50

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Solution

The fourth proportional to 11,989.82, 16,546 and 7,212.50 is: 9,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.82 : 16,546 = 7,212.50 : x
  2. Step 2: Convert to fraction form
    11,989.82/16,546 = 7,212.50/x
  3. Step 3: Cross multiply
    11,989.82x = 16,546 × 7,212.50
  4. Step 4: Simplify right side
    11,989.82x = 119,338,025
  5. Step 5: Solve for x
    x = 119,338,025/11,989.82
  6. Step 6: Final answer
    x = 9,953.28

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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.