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Finding the Fourth Proportional to 20,257.72, 30,397.25 and 10,397

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Solution

The fourth proportional to 20,257.72, 30,397.25 and 10,397 is: 15,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.72 : 30,397.25 = 10,397 : x
  2. Step 2: Convert to fraction form
    20,257.72/30,397.25 = 10,397/x
  3. Step 3: Cross multiply
    20,257.72x = 30,397.25 × 10,397
  4. Step 4: Simplify right side
    20,257.72x = 316,040,208.25
  5. Step 5: Solve for x
    x = 316,040,208.25/20,257.72
  6. Step 6: Final answer
    x = 15,600.98

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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.