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Finding the Fourth Proportional to 11,229, 16,837.02 and 4,989

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Solution

The fourth proportional to 11,229, 16,837.02 and 4,989 is: 7,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229 : 16,837.02 = 4,989 : x
  2. Step 2: Convert to fraction form
    11,229/16,837.02 = 4,989/x
  3. Step 3: Cross multiply
    11,229x = 16,837.02 × 4,989
  4. Step 4: Simplify right side
    11,229x = 83,999,892.78
  5. Step 5: Solve for x
    x = 83,999,892.78/11,229
  6. Step 6: Final answer
    x = 7,480.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.