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Finding the Fourth Proportional to 30,620, 45,923.96 and 8,427.68

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Solution

The fourth proportional to 30,620, 45,923.96 and 8,427.68 is: 12,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,620 : 45,923.96 = 8,427.68 : x
  2. Step 2: Convert to fraction form
    30,620/45,923.96 = 8,427.68/x
  3. Step 3: Cross multiply
    30,620x = 45,923.96 × 8,427.68
  4. Step 4: Simplify right side
    30,620x = 387,032,439.21
  5. Step 5: Solve for x
    x = 387,032,439.21/30,620
  6. Step 6: Final answer
    x = 12,639.86

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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.