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Finding the Fourth Proportional to 10,147, 15,220.51 and 3,221.50

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Solution

The fourth proportional to 10,147, 15,220.51 and 3,221.50 is: 4,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147 : 15,220.51 = 3,221.50 : x
  2. Step 2: Convert to fraction form
    10,147/15,220.51 = 3,221.50/x
  3. Step 3: Cross multiply
    10,147x = 15,220.51 × 3,221.50
  4. Step 4: Simplify right side
    10,147x = 49,032,872.97
  5. Step 5: Solve for x
    x = 49,032,872.97/10,147
  6. Step 6: Final answer
    x = 4,832.25

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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.