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Finding the Fourth Proportional to 1,728.40, 2,589.40 and 1,613.20

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Solution

The fourth proportional to 1,728.40, 2,589.40 and 1,613.20 is: 2,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.40 : 2,589.40 = 1,613.20 : x
  2. Step 2: Convert to fraction form
    1,728.40/2,589.40 = 1,613.20/x
  3. Step 3: Cross multiply
    1,728.40x = 2,589.40 × 1,613.20
  4. Step 4: Simplify right side
    1,728.40x = 4,177,220.08
  5. Step 5: Solve for x
    x = 4,177,220.08/1,728.40
  6. Step 6: Final answer
    x = 2,416.81

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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.