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Finding the Fourth Proportional to 3,460.56, 5,190 and 1,728.78

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Solution

The fourth proportional to 3,460.56, 5,190 and 1,728.78 is: 2,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.56 : 5,190 = 1,728.78 : x
  2. Step 2: Convert to fraction form
    3,460.56/5,190 = 1,728.78/x
  3. Step 3: Cross multiply
    3,460.56x = 5,190 × 1,728.78
  4. Step 4: Simplify right side
    3,460.56x = 8,972,368.20
  5. Step 5: Solve for x
    x = 8,972,368.20/3,460.56
  6. Step 6: Final answer
    x = 2,592.75

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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.