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Finding the Fourth Proportional to 11,688.77, 16,130.51 and 6,383.61

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Solution

The fourth proportional to 11,688.77, 16,130.51 and 6,383.61 is: 8,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.77 : 16,130.51 = 6,383.61 : x
  2. Step 2: Convert to fraction form
    11,688.77/16,130.51 = 6,383.61/x
  3. Step 3: Cross multiply
    11,688.77x = 16,130.51 × 6,383.61
  4. Step 4: Simplify right side
    11,688.77x = 102,970,876.96
  5. Step 5: Solve for x
    x = 102,970,876.96/11,688.77
  6. Step 6: Final answer
    x = 8,809.38

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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.