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Finding the Fourth Proportional to 11,860, 16,369.92 and 6,824.80

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Solution

The fourth proportional to 11,860, 16,369.92 and 6,824.80 is: 9,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860 : 16,369.92 = 6,824.80 : x
  2. Step 2: Convert to fraction form
    11,860/16,369.92 = 6,824.80/x
  3. Step 3: Cross multiply
    11,860x = 16,369.92 × 6,824.80
  4. Step 4: Simplify right side
    11,860x = 111,721,430.02
  5. Step 5: Solve for x
    x = 111,721,430.02/11,860
  6. Step 6: Final answer
    x = 9,420.02

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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.