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Finding the Fourth Proportional to 11,877, 16,389 and 6,571.68

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Solution

The fourth proportional to 11,877, 16,389 and 6,571.68 is: 9,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877 : 16,389 = 6,571.68 : x
  2. Step 2: Convert to fraction form
    11,877/16,389 = 6,571.68/x
  3. Step 3: Cross multiply
    11,877x = 16,389 × 6,571.68
  4. Step 4: Simplify right side
    11,877x = 107,703,263.52
  5. Step 5: Solve for x
    x = 107,703,263.52/11,877
  6. Step 6: Final answer
    x = 9,068.22

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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.