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Finding the Fourth Proportional to 3,728.40, 5,596.20 and 1,881.60

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Solution

The fourth proportional to 3,728.40, 5,596.20 and 1,881.60 is: 2,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.40 : 5,596.20 = 1,881.60 : x
  2. Step 2: Convert to fraction form
    3,728.40/5,596.20 = 1,881.60/x
  3. Step 3: Cross multiply
    3,728.40x = 5,596.20 × 1,881.60
  4. Step 4: Simplify right side
    3,728.40x = 10,529,809.92
  5. Step 5: Solve for x
    x = 10,529,809.92/3,728.40
  6. Step 6: Final answer
    x = 2,824.22

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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.