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Finding the Fourth Proportional to 8,448.08, 12,672.12 and 3,830

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Solution

The fourth proportional to 8,448.08, 12,672.12 and 3,830 is: 5,745

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.08 : 12,672.12 = 3,830 : x
  2. Step 2: Convert to fraction form
    8,448.08/12,672.12 = 3,830/x
  3. Step 3: Cross multiply
    8,448.08x = 12,672.12 × 3,830
  4. Step 4: Simplify right side
    8,448.08x = 48,534,219.60
  5. Step 5: Solve for x
    x = 48,534,219.60/8,448.08
  6. Step 6: Final answer
    x = 5,745

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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.