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Finding the Fourth Proportional to 11,421.80, 15,761.78 and 6,453.80

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Solution

The fourth proportional to 11,421.80, 15,761.78 and 6,453.80 is: 8,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.80 : 15,761.78 = 6,453.80 : x
  2. Step 2: Convert to fraction form
    11,421.80/15,761.78 = 6,453.80/x
  3. Step 3: Cross multiply
    11,421.80x = 15,761.78 × 6,453.80
  4. Step 4: Simplify right side
    11,421.80x = 101,723,375.76
  5. Step 5: Solve for x
    x = 101,723,375.76/11,421.80
  6. Step 6: Final answer
    x = 8,906.07

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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.