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Finding the Fourth Proportional to 18,646.68, 27,974.88 and 6,960

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Solution

The fourth proportional to 18,646.68, 27,974.88 and 6,960 is: 10,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.68 : 27,974.88 = 6,960 : x
  2. Step 2: Convert to fraction form
    18,646.68/27,974.88 = 6,960/x
  3. Step 3: Cross multiply
    18,646.68x = 27,974.88 × 6,960
  4. Step 4: Simplify right side
    18,646.68x = 194,705,164.80
  5. Step 5: Solve for x
    x = 194,705,164.80/18,646.68
  6. Step 6: Final answer
    x = 10,441.81

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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.