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Finding the Fourth Proportional to 13,199.22, 18,204.48 and 9,369

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Solution

The fourth proportional to 13,199.22, 18,204.48 and 9,369 is: 12,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.22 : 18,204.48 = 9,369 : x
  2. Step 2: Convert to fraction form
    13,199.22/18,204.48 = 9,369/x
  3. Step 3: Cross multiply
    13,199.22x = 18,204.48 × 9,369
  4. Step 4: Simplify right side
    13,199.22x = 170,557,773.12
  5. Step 5: Solve for x
    x = 170,557,773.12/13,199.22
  6. Step 6: Final answer
    x = 12,921.81

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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.