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Finding the Fourth Proportional to 3,921.81, 5,884.24 and 1,728.99

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Solution

The fourth proportional to 3,921.81, 5,884.24 and 1,728.99 is: 2,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.81 : 5,884.24 = 1,728.99 : x
  2. Step 2: Convert to fraction form
    3,921.81/5,884.24 = 1,728.99/x
  3. Step 3: Cross multiply
    3,921.81x = 5,884.24 × 1,728.99
  4. Step 4: Simplify right side
    3,921.81x = 10,173,792.12
  5. Step 5: Solve for x
    x = 10,173,792.12/3,921.81
  6. Step 6: Final answer
    x = 2,594.16

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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.