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Finding the Fourth Proportional to 3,921.46, 5,880.61 and 1,728.63

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Solution

The fourth proportional to 3,921.46, 5,880.61 and 1,728.63 is: 2,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.46 : 5,880.61 = 1,728.63 : x
  2. Step 2: Convert to fraction form
    3,921.46/5,880.61 = 1,728.63/x
  3. Step 3: Cross multiply
    3,921.46x = 5,880.61 × 1,728.63
  4. Step 4: Simplify right side
    3,921.46x = 10,165,373.78
  5. Step 5: Solve for x
    x = 10,165,373.78/3,921.46
  6. Step 6: Final answer
    x = 2,592.25

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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.