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Finding the Fourth Proportional to 12,209.02, 18,321.02 and 5,635.68

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Solution

The fourth proportional to 12,209.02, 18,321.02 and 5,635.68 is: 8,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.02 : 18,321.02 = 5,635.68 : x
  2. Step 2: Convert to fraction form
    12,209.02/18,321.02 = 5,635.68/x
  3. Step 3: Cross multiply
    12,209.02x = 18,321.02 × 5,635.68
  4. Step 4: Simplify right side
    12,209.02x = 103,251,405.99
  5. Step 5: Solve for x
    x = 103,251,405.99/12,209.02
  6. Step 6: Final answer
    x = 8,456.98

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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.