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Finding the Fourth Proportional to 20,000.96, 30,005.92 and 7,688.64

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Solution

The fourth proportional to 20,000.96, 30,005.92 and 7,688.64 is: 11,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.96 : 30,005.92 = 7,688.64 : x
  2. Step 2: Convert to fraction form
    20,000.96/30,005.92 = 7,688.64/x
  3. Step 3: Cross multiply
    20,000.96x = 30,005.92 × 7,688.64
  4. Step 4: Simplify right side
    20,000.96x = 230,704,716.75
  5. Step 5: Solve for x
    x = 230,704,716.75/20,000.96
  6. Step 6: Final answer
    x = 11,534.68

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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.