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Finding the Fourth Proportional to 11,899, 16,420.62 and 6,931

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Solution

The fourth proportional to 11,899, 16,420.62 and 6,931 is: 9,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899 : 16,420.62 = 6,931 : x
  2. Step 2: Convert to fraction form
    11,899/16,420.62 = 6,931/x
  3. Step 3: Cross multiply
    11,899x = 16,420.62 × 6,931
  4. Step 4: Simplify right side
    11,899x = 113,811,317.22
  5. Step 5: Solve for x
    x = 113,811,317.22/11,899
  6. Step 6: Final answer
    x = 9,564.78

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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.