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Finding the Fourth Proportional to 11,806, 16,292.28 and 6,500.81

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Solution

The fourth proportional to 11,806, 16,292.28 and 6,500.81 is: 8,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806 : 16,292.28 = 6,500.81 : x
  2. Step 2: Convert to fraction form
    11,806/16,292.28 = 6,500.81/x
  3. Step 3: Cross multiply
    11,806x = 16,292.28 × 6,500.81
  4. Step 4: Simplify right side
    11,806x = 105,912,935.29
  5. Step 5: Solve for x
    x = 105,912,935.29/11,806
  6. Step 6: Final answer
    x = 8,971.11

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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.