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Finding the Fourth Proportional to 20,861.68, 31,302.80 and 9,769.12

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Solution

The fourth proportional to 20,861.68, 31,302.80 and 9,769.12 is: 14,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.68 : 31,302.80 = 9,769.12 : x
  2. Step 2: Convert to fraction form
    20,861.68/31,302.80 = 9,769.12/x
  3. Step 3: Cross multiply
    20,861.68x = 31,302.80 × 9,769.12
  4. Step 4: Simplify right side
    20,861.68x = 305,800,809.54
  5. Step 5: Solve for x
    x = 305,800,809.54/20,861.68
  6. Step 6: Final answer
    x = 14,658.49

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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.