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Finding the Fourth Proportional to 13,545.11, 18,695.18 and 8,241.64

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Solution

The fourth proportional to 13,545.11, 18,695.18 and 8,241.64 is: 11,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.11 : 18,695.18 = 8,241.64 : x
  2. Step 2: Convert to fraction form
    13,545.11/18,695.18 = 8,241.64/x
  3. Step 3: Cross multiply
    13,545.11x = 18,695.18 × 8,241.64
  4. Step 4: Simplify right side
    13,545.11x = 154,078,917.16
  5. Step 5: Solve for x
    x = 154,078,917.16/13,545.11
  6. Step 6: Final answer
    x = 11,375.24

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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.