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Finding the Fourth Proportional to 8,425, 12,642.42 and 3,808

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Solution

The fourth proportional to 8,425, 12,642.42 and 3,808 is: 5,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425 : 12,642.42 = 3,808 : x
  2. Step 2: Convert to fraction form
    8,425/12,642.42 = 3,808/x
  3. Step 3: Cross multiply
    8,425x = 12,642.42 × 3,808
  4. Step 4: Simplify right side
    8,425x = 48,142,335.36
  5. Step 5: Solve for x
    x = 48,142,335.36/8,425
  6. Step 6: Final answer
    x = 5,714.22

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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.