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Finding the Fourth Proportional to 20,647.67, 30,971.50 and 8,960.63

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Solution

The fourth proportional to 20,647.67, 30,971.50 and 8,960.63 is: 13,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.67 : 30,971.50 = 8,960.63 : x
  2. Step 2: Convert to fraction form
    20,647.67/30,971.50 = 8,960.63/x
  3. Step 3: Cross multiply
    20,647.67x = 30,971.50 × 8,960.63
  4. Step 4: Simplify right side
    20,647.67x = 277,523,974.79
  5. Step 5: Solve for x
    x = 277,523,974.79/20,647.67
  6. Step 6: Final answer
    x = 13,440.94

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1.5x scale

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.