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Finding the Fourth Proportional to 19,965.76, 27,563.54 and 12,009.76

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Solution

The fourth proportional to 19,965.76, 27,563.54 and 12,009.76 is: 16,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.76 : 27,563.54 = 12,009.76 : x
  2. Step 2: Convert to fraction form
    19,965.76/27,563.54 = 12,009.76/x
  3. Step 3: Cross multiply
    19,965.76x = 27,563.54 × 12,009.76
  4. Step 4: Simplify right side
    19,965.76x = 331,031,500.15
  5. Step 5: Solve for x
    x = 331,031,500.15/19,965.76
  6. Step 6: Final answer
    x = 16,579.96

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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.