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Finding the Fourth Proportional to 3,398.57, 5,089.63 and 1,728.30

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Solution

The fourth proportional to 3,398.57, 5,089.63 and 1,728.30 is: 2,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.57 : 5,089.63 = 1,728.30 : x
  2. Step 2: Convert to fraction form
    3,398.57/5,089.63 = 1,728.30/x
  3. Step 3: Cross multiply
    3,398.57x = 5,089.63 × 1,728.30
  4. Step 4: Simplify right side
    3,398.57x = 8,796,415.93
  5. Step 5: Solve for x
    x = 8,796,415.93/3,398.57
  6. Step 6: Final answer
    x = 2,588.27

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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.