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Finding the Fourth Proportional to 3,460.48, 5,190.90 and 1,728.52

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Solution

The fourth proportional to 3,460.48, 5,190.90 and 1,728.52 is: 2,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.48 : 5,190.90 = 1,728.52 : x
  2. Step 2: Convert to fraction form
    3,460.48/5,190.90 = 1,728.52/x
  3. Step 3: Cross multiply
    3,460.48x = 5,190.90 × 1,728.52
  4. Step 4: Simplify right side
    3,460.48x = 8,972,574.47
  5. Step 5: Solve for x
    x = 8,972,574.47/3,460.48
  6. Step 6: Final answer
    x = 2,592.87

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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.