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Finding the Fourth Proportional to 11,767.80, 17,610.03 and 8,640.39

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Solution

The fourth proportional to 11,767.80, 17,610.03 and 8,640.39 is: 12,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.80 : 17,610.03 = 8,640.39 : x
  2. Step 2: Convert to fraction form
    11,767.80/17,610.03 = 8,640.39/x
  3. Step 3: Cross multiply
    11,767.80x = 17,610.03 × 8,640.39
  4. Step 4: Simplify right side
    11,767.80x = 152,157,527.11
  5. Step 5: Solve for x
    x = 152,157,527.11/11,767.80
  6. Step 6: Final answer
    x = 12,929.99

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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.