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Finding the Fourth Proportional to 16,642, 24,982.20 and 8,451.28

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Solution

The fourth proportional to 16,642, 24,982.20 and 8,451.28 is: 12,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642 : 24,982.20 = 8,451.28 : x
  2. Step 2: Convert to fraction form
    16,642/24,982.20 = 8,451.28/x
  3. Step 3: Cross multiply
    16,642x = 24,982.20 × 8,451.28
  4. Step 4: Simplify right side
    16,642x = 211,131,567.22
  5. Step 5: Solve for x
    x = 211,131,567.22/16,642
  6. Step 6: Final answer
    x = 12,686.67

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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.