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Finding the Fourth Proportional to 3,813.84, 5,688.84 and 3,190.56

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Solution

The fourth proportional to 3,813.84, 5,688.84 and 3,190.56 is: 4,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.84 : 5,688.84 = 3,190.56 : x
  2. Step 2: Convert to fraction form
    3,813.84/5,688.84 = 3,190.56/x
  3. Step 3: Cross multiply
    3,813.84x = 5,688.84 × 3,190.56
  4. Step 4: Simplify right side
    3,813.84x = 18,150,585.35
  5. Step 5: Solve for x
    x = 18,150,585.35/3,813.84
  6. Step 6: Final answer
    x = 4,759.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.