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Finding the Fourth Proportional to 11,209.80, 16,812.90 and 3,416.80

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Solution

The fourth proportional to 11,209.80, 16,812.90 and 3,416.80 is: 5,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.80 : 16,812.90 = 3,416.80 : x
  2. Step 2: Convert to fraction form
    11,209.80/16,812.90 = 3,416.80/x
  3. Step 3: Cross multiply
    11,209.80x = 16,812.90 × 3,416.80
  4. Step 4: Simplify right side
    11,209.80x = 57,446,316.72
  5. Step 5: Solve for x
    x = 57,446,316.72/11,209.80
  6. Step 6: Final answer
    x = 5,124.65

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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.