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Finding the Fourth Proportional to 3,657.72, 5,476.80 and 1,922.68

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Solution

The fourth proportional to 3,657.72, 5,476.80 and 1,922.68 is: 2,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.72 : 5,476.80 = 1,922.68 : x
  2. Step 2: Convert to fraction form
    3,657.72/5,476.80 = 1,922.68/x
  3. Step 3: Cross multiply
    3,657.72x = 5,476.80 × 1,922.68
  4. Step 4: Simplify right side
    3,657.72x = 10,530,133.82
  5. Step 5: Solve for x
    x = 10,530,133.82/3,657.72
  6. Step 6: Final answer
    x = 2,878.88

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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.