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Finding the Fourth Proportional to 16,239, 22,409.88 and 8,787

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Solution

The fourth proportional to 16,239, 22,409.88 and 8,787 is: 12,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239 : 22,409.88 = 8,787 : x
  2. Step 2: Convert to fraction form
    16,239/22,409.88 = 8,787/x
  3. Step 3: Cross multiply
    16,239x = 22,409.88 × 8,787
  4. Step 4: Simplify right side
    16,239x = 196,915,615.56
  5. Step 5: Solve for x
    x = 196,915,615.56/16,239
  6. Step 6: Final answer
    x = 12,126.09

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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.