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Finding the Fourth Proportional to 13,546.68, 18,694.04 and 7,578.38

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Solution

The fourth proportional to 13,546.68, 18,694.04 and 7,578.38 is: 10,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.68 : 18,694.04 = 7,578.38 : x
  2. Step 2: Convert to fraction form
    13,546.68/18,694.04 = 7,578.38/x
  3. Step 3: Cross multiply
    13,546.68x = 18,694.04 × 7,578.38
  4. Step 4: Simplify right side
    13,546.68x = 141,670,538.86
  5. Step 5: Solve for x
    x = 141,670,538.86/13,546.68
  6. Step 6: Final answer
    x = 10,457.95

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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.