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Finding the Fourth Proportional to 13,650.84, 20,481 and 8,419.68

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Solution

The fourth proportional to 13,650.84, 20,481 and 8,419.68 is: 12,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.84 : 20,481 = 8,419.68 : x
  2. Step 2: Convert to fraction form
    13,650.84/20,481 = 8,419.68/x
  3. Step 3: Cross multiply
    13,650.84x = 20,481 × 8,419.68
  4. Step 4: Simplify right side
    13,650.84x = 172,443,466.08
  5. Step 5: Solve for x
    x = 172,443,466.08/13,650.84
  6. Step 6: Final answer
    x = 12,632.44

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1.5x scale

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.