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Finding the Fourth Proportional to 13,202.12, 18,204 and 8,415.68

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Solution

The fourth proportional to 13,202.12, 18,204 and 8,415.68 is: 11,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.12 : 18,204 = 8,415.68 : x
  2. Step 2: Convert to fraction form
    13,202.12/18,204 = 8,415.68/x
  3. Step 3: Cross multiply
    13,202.12x = 18,204 × 8,415.68
  4. Step 4: Simplify right side
    13,202.12x = 153,199,038.72
  5. Step 5: Solve for x
    x = 153,199,038.72/13,202.12
  6. Step 6: Final answer
    x = 11,604.12

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1.5x scale

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.