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Finding the Fourth Proportional to 5,190.78, 7,787.37 and 1,728.30

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Solution

The fourth proportional to 5,190.78, 7,787.37 and 1,728.30 is: 2,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.78 : 7,787.37 = 1,728.30 : x
  2. Step 2: Convert to fraction form
    5,190.78/7,787.37 = 1,728.30/x
  3. Step 3: Cross multiply
    5,190.78x = 7,787.37 × 1,728.30
  4. Step 4: Simplify right side
    5,190.78x = 13,458,911.57
  5. Step 5: Solve for x
    x = 13,458,911.57/5,190.78
  6. Step 6: Final answer
    x = 2,592.85

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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.