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Finding the Fourth Proportional to 12,441.64, 18,634.44 and 7,164.13

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Solution

The fourth proportional to 12,441.64, 18,634.44 and 7,164.13 is: 10,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.64 : 18,634.44 = 7,164.13 : x
  2. Step 2: Convert to fraction form
    12,441.64/18,634.44 = 7,164.13/x
  3. Step 3: Cross multiply
    12,441.64x = 18,634.44 × 7,164.13
  4. Step 4: Simplify right side
    12,441.64x = 133,499,589.06
  5. Step 5: Solve for x
    x = 133,499,589.06/12,441.64
  6. Step 6: Final answer
    x = 10,730.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.