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Finding the Fourth Proportional to 11,655, 16,083.99 and 6,349.68

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Solution

The fourth proportional to 11,655, 16,083.99 and 6,349.68 is: 8,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655 : 16,083.99 = 6,349.68 : x
  2. Step 2: Convert to fraction form
    11,655/16,083.99 = 6,349.68/x
  3. Step 3: Cross multiply
    11,655x = 16,083.99 × 6,349.68
  4. Step 4: Simplify right side
    11,655x = 102,128,189.62
  5. Step 5: Solve for x
    x = 102,128,189.62/11,655
  6. Step 6: Final answer
    x = 8,762.61

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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.