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Finding the Fourth Proportional to 14,624, 20,181.12 and 8,000

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Solution

The fourth proportional to 14,624, 20,181.12 and 8,000 is: 11,040

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624 : 20,181.12 = 8,000 : x
  2. Step 2: Convert to fraction form
    14,624/20,181.12 = 8,000/x
  3. Step 3: Cross multiply
    14,624x = 20,181.12 × 8,000
  4. Step 4: Simplify right side
    14,624x = 161,448,960
  5. Step 5: Solve for x
    x = 161,448,960/14,624
  6. Step 6: Final answer
    x = 11,040

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.