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Finding the Fourth Proportional to 14,049, 21,073.50 and 8,508.60

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Solution

The fourth proportional to 14,049, 21,073.50 and 8,508.60 is: 12,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049 : 21,073.50 = 8,508.60 : x
  2. Step 2: Convert to fraction form
    14,049/21,073.50 = 8,508.60/x
  3. Step 3: Cross multiply
    14,049x = 21,073.50 × 8,508.60
  4. Step 4: Simplify right side
    14,049x = 179,305,982.10
  5. Step 5: Solve for x
    x = 179,305,982.10/14,049
  6. Step 6: Final answer
    x = 12,762.90

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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.