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Finding the Fourth Proportional to 20,615.46, 30,923.11 and 7,464.76

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Solution

The fourth proportional to 20,615.46, 30,923.11 and 7,464.76 is: 11,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.46 : 30,923.11 = 7,464.76 : x
  2. Step 2: Convert to fraction form
    20,615.46/30,923.11 = 7,464.76/x
  3. Step 3: Cross multiply
    20,615.46x = 30,923.11 × 7,464.76
  4. Step 4: Simplify right side
    20,615.46x = 230,833,439.99
  5. Step 5: Solve for x
    x = 230,833,439.99/20,615.46
  6. Step 6: Final answer
    x = 11,197.10

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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.