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Finding the Fourth Proportional to 20,520.66, 30,768.67 and 9,969.90

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Solution

The fourth proportional to 20,520.66, 30,768.67 and 9,969.90 is: 14,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520.66 : 30,768.67 = 9,969.90 : x
  2. Step 2: Convert to fraction form
    20,520.66/30,768.67 = 9,969.90/x
  3. Step 3: Cross multiply
    20,520.66x = 30,768.67 × 9,969.90
  4. Step 4: Simplify right side
    20,520.66x = 306,760,563.03
  5. Step 5: Solve for x
    x = 306,760,563.03/20,520.66
  6. Step 6: Final answer
    x = 14,948.86

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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.