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Finding the Fourth Proportional to 9,209.68, 13,813.90 and 3,944.68

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Solution

The fourth proportional to 9,209.68, 13,813.90 and 3,944.68 is: 5,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.68 : 13,813.90 = 3,944.68 : x
  2. Step 2: Convert to fraction form
    9,209.68/13,813.90 = 3,944.68/x
  3. Step 3: Cross multiply
    9,209.68x = 13,813.90 × 3,944.68
  4. Step 4: Simplify right side
    9,209.68x = 54,491,415.05
  5. Step 5: Solve for x
    x = 54,491,415.05/9,209.68
  6. Step 6: Final answer
    x = 5,916.75

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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.