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Finding the Fourth Proportional to 20,487.75, 30,703.05 and 15,486

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Solution

The fourth proportional to 20,487.75, 30,703.05 and 15,486 is: 23,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,487.75 : 30,703.05 = 15,486 : x
  2. Step 2: Convert to fraction form
    20,487.75/30,703.05 = 15,486/x
  3. Step 3: Cross multiply
    20,487.75x = 30,703.05 × 15,486
  4. Step 4: Simplify right side
    20,487.75x = 475,467,432.30
  5. Step 5: Solve for x
    x = 475,467,432.30/20,487.75
  6. Step 6: Final answer
    x = 23,207.40

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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.