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Finding the Fourth Proportional to 6,123.68, 9,185.22 and 1,906.92

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Solution

The fourth proportional to 6,123.68, 9,185.22 and 1,906.92 is: 2,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.68 : 9,185.22 = 1,906.92 : x
  2. Step 2: Convert to fraction form
    6,123.68/9,185.22 = 1,906.92/x
  3. Step 3: Cross multiply
    6,123.68x = 9,185.22 × 1,906.92
  4. Step 4: Simplify right side
    6,123.68x = 17,515,479.72
  5. Step 5: Solve for x
    x = 17,515,479.72/6,123.68
  6. Step 6: Final answer
    x = 2,860.29

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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.