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Finding the Fourth Proportional to 11,989, 17,989.98 and 5,833

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Solution

The fourth proportional to 11,989, 17,989.98 and 5,833 is: 8,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989 : 17,989.98 = 5,833 : x
  2. Step 2: Convert to fraction form
    11,989/17,989.98 = 5,833/x
  3. Step 3: Cross multiply
    11,989x = 17,989.98 × 5,833
  4. Step 4: Simplify right side
    11,989x = 104,935,553.34
  5. Step 5: Solve for x
    x = 104,935,553.34/11,989
  6. Step 6: Final answer
    x = 8,752.65

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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.