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Finding the Fourth Proportional to 12,578.68, 18,868.14 and 3,813.64

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Solution

The fourth proportional to 12,578.68, 18,868.14 and 3,813.64 is: 5,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.68 : 18,868.14 = 3,813.64 : x
  2. Step 2: Convert to fraction form
    12,578.68/18,868.14 = 3,813.64/x
  3. Step 3: Cross multiply
    12,578.68x = 18,868.14 × 3,813.64
  4. Step 4: Simplify right side
    12,578.68x = 71,956,293.43
  5. Step 5: Solve for x
    x = 71,956,293.43/12,578.68
  6. Step 6: Final answer
    x = 5,720.50

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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.