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Finding the Fourth Proportional to 13,156.50, 18,164.07 and 8,449.08

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Solution

The fourth proportional to 13,156.50, 18,164.07 and 8,449.08 is: 11,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.50 : 18,164.07 = 8,449.08 : x
  2. Step 2: Convert to fraction form
    13,156.50/18,164.07 = 8,449.08/x
  3. Step 3: Cross multiply
    13,156.50x = 18,164.07 × 8,449.08
  4. Step 4: Simplify right side
    13,156.50x = 153,469,680.56
  5. Step 5: Solve for x
    x = 153,469,680.56/13,156.50
  6. Step 6: Final answer
    x = 11,664.93

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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.