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Finding the Fourth Proportional to 13,169.96, 18,184.07 and 8,141.07

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Solution

The fourth proportional to 13,169.96, 18,184.07 and 8,141.07 is: 11,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.96 : 18,184.07 = 8,141.07 : x
  2. Step 2: Convert to fraction form
    13,169.96/18,184.07 = 8,141.07/x
  3. Step 3: Cross multiply
    13,169.96x = 18,184.07 × 8,141.07
  4. Step 4: Simplify right side
    13,169.96x = 148,037,746.05
  5. Step 5: Solve for x
    x = 148,037,746.05/13,169.96
  6. Step 6: Final answer
    x = 11,240.57

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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.