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Finding the Fourth Proportional to 20,697.39, 31,049.19 and 9,605.22

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Solution

The fourth proportional to 20,697.39, 31,049.19 and 9,605.22 is: 14,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.39 : 31,049.19 = 9,605.22 : x
  2. Step 2: Convert to fraction form
    20,697.39/31,049.19 = 9,605.22/x
  3. Step 3: Cross multiply
    20,697.39x = 31,049.19 × 9,605.22
  4. Step 4: Simplify right side
    20,697.39x = 298,234,184.34
  5. Step 5: Solve for x
    x = 298,234,184.34/20,697.39
  6. Step 6: Final answer
    x = 14,409.27

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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.