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Finding the Fourth Proportional to 11,209.57, 16,815.13 and 3,813.07

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Solution

The fourth proportional to 11,209.57, 16,815.13 and 3,813.07 is: 5,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.57 : 16,815.13 = 3,813.07 : x
  2. Step 2: Convert to fraction form
    11,209.57/16,815.13 = 3,813.07/x
  3. Step 3: Cross multiply
    11,209.57x = 16,815.13 × 3,813.07
  4. Step 4: Simplify right side
    11,209.57x = 64,117,227.84
  5. Step 5: Solve for x
    x = 64,117,227.84/11,209.57
  6. Step 6: Final answer
    x = 5,719.86

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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.