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Finding the Fourth Proportional to 21,000, 31,504.86 and 7,149

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Solution

The fourth proportional to 21,000, 31,504.86 and 7,149 is: 10,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000 : 31,504.86 = 7,149 : x
  2. Step 2: Convert to fraction form
    21,000/31,504.86 = 7,149/x
  3. Step 3: Cross multiply
    21,000x = 31,504.86 × 7,149
  4. Step 4: Simplify right side
    21,000x = 225,228,244.14
  5. Step 5: Solve for x
    x = 225,228,244.14/21,000
  6. Step 6: Final answer
    x = 10,725.15

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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.